Archive for January, 2009

Job Advertisement

Posted in The Universe and Stuff with tags , , on January 14, 2009 by telescoper

This may not be a conventional use for a blog, but I thought I’d give it a go.

After receiving the news a while ago that I had a new research grant, I subsequently got official approval to advertise for a new postdoc and the advert has now been submitted to various places. I thought I might as well put the advertisement on here as well as the usual outlets. It will be on the AAS Jobs Register next month.

Research Associate
Cardiff School of Physics and Astronomy

Applications are invited for a position as Research Associate in Theoretical Cosmology in the School of Physics & Astronomy at Cardiff University. You will undertake research into departures from the standard “concordance” cosmological model and methods for extracting relevant evidence from observations of the cosmic microwave background and large-scale structure in the galaxy distribution. This position is funded by a grant from the Science & Technology Facilities Council.

You will have (or expect to obtain very soon) a PhD or have equivalent research experience in astronomy, astrophysics, cosmology or a closely related subject. A strong theoretical background and experience in the analysis of cosmological data are essential.

The School of Physics & Astronomy at Cardiff University hosts a broad and stimulating research program in astrophysics, cosmology and gravitational physics, encompassing theory, observation and instrumentation. In particular, it is involved in a large number of important cosmological experiments, including Planck, Quad and Clover.

See for more information.

This post is fixed-term for 3 years.

Salary: £29704 – £35469 per annum.

Informal enquiries can be made to Professor Coles (

For an application pack and details of all Cardiff vacancies, visit alternatively email or telephone +44 (0) 29 2087 4017 quoting vacancy number 2009/034.

For specific information on this particular vacancy, please go here.

Closing date: Monday, 02 March 2009.

I’ll take this post offline after the deadline passes.

Not the Square Kilometre Array

Posted in Music with tags , , , , on January 13, 2009 by telescoper

Searching the net for material about one of the world’s leading astronomy projects The Square Kilometre Array, I inadvertently used the well-known abbreviation SKA in Google and was inundated with sites about Ska, the Jamaican music genre that paved the way to Reggae and also fuelled the 2 Tone movement which swept the UK music scene in 1979.

When I was still in School, I was never a big fan of Punk (which immediately preceded Ska in popularity), but absolutely loved bands like The Specials, The Beat and especially Selecter. I adored the music, but also loved their inclusive multi-racial philosophy. Being a bit of an anorak I actually managed to get hold of some of the very rare original Ska recordings, principally by the superb Skatalites who are still going almost 50 years after they were founded. This wonderful band specialised in irreverent and highly eccentric cover versions of movie film tunes from the 1960s including Doctor Zhivago and James Bond, plus the classic Guns of Navarone.

Ska was usually played (at least nominally) in 4-4 time, but each beat was really a cluster of sub-beats forming a triplet. Usually the drummer put a heavy bass accent (and usually a side stick or rim shot on the snare) on the 3rd component of each triplet, and there would be guitar chops, other percussion, and/or brass riffs on the “off” beats. It is said that this structure was inherited, at least in part, from the marching bands that played in Jamaica and it does give a kind of strutting feel to the overall pulse. But wherever it came from the beat gives the music an infectious lilting rythm that gives anyone dancing to it an irresistible urge to jump up and down, especially on up-tempo numbers. The tripletty structure also gives those with no sense of rythm a greater probability of moving in time with at least one relevant beat. Ska also spawned Reggae which inherited its curious rythmic figure, but added a bass accent on the 1st and 3rd beats of the bar (the “on” beats”) and was generally played much slower.

In need of a bit of cheering up I abandoned my quest for astronomical learning and went on yet another trip down memory lane via Youtube, which I enjoyed enormously, so I decided to put up here a piece full of nostalgia for me which I hope at least some of you might enjoy.

Here are The Specials, recorded on British TV in 1979 (a programme which I think I actually watched at the time). They are playing the theme from The Guns of Navarone as a direct tribute to the Skatalites, whose wonderful original version you can also find on Youtube here (although it is really just audio).

Sad News

Posted in Uncategorized with tags on January 13, 2009 by telescoper

You may recall a previous blog item of mine about Operation Skyphoto, which was an attempt to raise funds for a new medical treatment for Alexander Thatte, the young son of two Oxford physicists, by selling old sky survey plates.

I was reading through some items on the e-astronomer this morning, and found a comment by Steve Warren conveying the sad news that Alexander lost his battle against leucaemia and passed away on January 4th 2009.

Vitae Summa Brevis Spem Nos Vetat Incohare Longam.

Maps, Territories and Landscapes

Posted in The Universe and Stuff with tags , , , , , , , , on January 10, 2009 by telescoper

I was looking through recent posts on cosmic variance and came across an interesting item featuring a map from another blog (run by Samuel Arbesman) which portrays the Milky Way in the style of  a public transport map:


This is just a bit of fun, of course, but I think maps like this are quite fascinating, not just as practical guides to navigating a transport system but also because they often stand up very well as works of art. It’s also interesting how they evolve with time  because of changes to the network and also changing ideas about stylistic matters.

A familiar example is the London Underground or Tube map. There is a fascinating website depicting the evolutionary history of this famous piece of graphic design. Early versions simply portrayed the railway lines inset into a normal geographical map which made them rather complicated, as the real layout of the lines is far from regular. A geographically accurate depiction of the modern tube network is shown here which makes the point:


A revolution occurred in 1933 when Harry Beck compiled the first “modern” version of the map. His great idea was to simplify the representation of the network around a single unifying feature. To this end he turned the Central Line (in red) into a straight line travelling left to right across the centre of the page, only changing direction at the extremities. All other lines were also distorted to run basically either North-South or East-West and produce a much more regular pattern, abandoning any attempt to represent the “real” geometry of the system but preserving its topology (i.e. its connectivity).  Here is an early version of his beautiful construction:

Note that although this a “modern” map in terms of how it represents the layout, it does look rather dated in terms of other design elements such as the border and typefaces used. We tend not to notice how much we surround the essential things with embellishments that date very quickly.

More modern versions of this map that you can get at tube stations and the like rather spoil the idea by introducing a kink in the central line to accommodate the complexity of the interchange between Bank and Monument stations as well as generally buggering about with the predominantly  rectilinear arrangement of the previous design:

I quite often use this map when I’m giving popular talks about physics. I think it illustrates quite nicely some of the philosophical issues related with theoretical representations of nature. I think of theories as being like maps, i.e. as attempts to make a useful representation of some  aspects of external reality. By useful, I mean the things we can use to make tests. However, there is a persistent tendency for some scientists to confuse the theory and the reality it is supposed to describe, especially a tendency to assert there is a one-to-one relationship between all elements of reality and the corresponding elements in the theoretical picture. This confusion was stated most succintly by the Polish scientist Alfred Korzybski in his memorable aphorism :

The map is not the territory.

I see this problem written particularly large with those physicists who persistently identify the landscape of string-theoretical possibilities with a multiverse of physically existing domains in which all these are realised. Of course, the Universe might be like that but it’s by no means clear to me that it has to be. I think we just don’t know what we’re doing well enough to know as much as we like to think we do.

A theory is also surrounded by a penumbra of non-testable elements, including those concepts that we use to translate the mathematical language of physics into everday words. We shouldn’t forget that many equations of physics have survived for a long time, but their interpretation has changed radically over the years.

The inevitable gap that lies between theory and reality does not mean that physics is a useless waste of time, it just means that its scope is limited. The Tube  map is not complete or accurate in all respects, but it’s excellent for what it was made for. Physics goes down the tubes when it loses sight of its key requirement: to be testable.

In any case, an attempt to make a grand unified theory of the London Underground system would no doubt produce a monstrous thing so unwieldly that it would be useless in practice. I think there’s a lesson there for string theorists too…

Now, anyone for a game of Mornington Crescent?

Close-up Cat

Posted in Columbo with tags on January 10, 2009 by telescoper

12-05-08_2011My friend Dave (former custodian of Columbo) sent me this picture, taken while said moggy was temporarily lodging at Dave’s house before I got mine sorted out.  Columbo seems to like lying on desks. He often sits like that in my study too. It’s quite nice to have him there when you’re working, but there is sometimes a problem when he decides to go walkabout all over the keyboard…




Anyway, this snap reminded me that I haven’t posted anything about him for a while so here’s a quick report.

Columbo is doing fine, although I don’t think he likes the cold weather very much. He always used to like drinking  rainwater out of plant pots and the like, but these days these are often frozen solid. He’s not exactly Brain of Britain, so he gets a bit confused that the stuff that should be water seems to be something different.

Before Christmas I decided I was a bit fed up with having his litter tray in the kitchen. It’s not very nice to have to watch him taking a dump when you’re having your dinner. I therefore bought a posh outside toilet for him to use (essentially a litter tray with a roof on it, and a door in the front). He seems to like it, although it does make him go out in the cold when he wants a poo. It seems to have done the trick, though, because he hasn’t committed any indiscretions in the house.

Other than that he seems to be doing fine. I’m looking forward to the spring when he can have a bit more fun in the garden, but in the present arctic climate that seems quite a long way off!

Particle Physics – The Opera

Posted in Opera, The Universe and Stuff with tags , , , , on January 8, 2009 by telescoper

A new season is about to start at English National Opera and I’ve been spending a lot of time and money recently getting tickets for some of the operas, as well as organizing the logistics of getting to and from London. Among the forthcoming productions is a revival of Nicholas Hytner’s production of Mozart’s The Magic Flute (Die Zauberflöte, K. 620).

I can’t remember how many times I have seen this opera performed nor in how many different productions. It’s a wonderful creation because it manages to combine being utterly daft with being somehow immensely profound. The plot makes no sense at all, the settings are ridiculous (e.g. “rocks with water and a cavern of fire”), and the whole thing appears to be little more than a pantomime. Since it’s Mozart, though, there is one ingredient you can’t quibble with: a seemingly unending sequence of gorgeous music.

When I first saw The Magic Flute I thought it was just a silly but sublime piece of entertainment not worth digging into too deeply. I wondered why so many pompous people seemed to take it so terribly seriously. Real life doesn’t really make much sense, so why would anyone demand that an opera be any less ridiculous? Nevertheless, there is a vast industry devoted to unravelling the supposed “mystery” of this opera, with all its references to magic and freemasonry.

But now I can unveil the true solution of problem contained within the riddle encoded in the conundrum that surrounds the enigma that has puzzled so many Opera fans for so long. I have definitive proof that this opera is not about freemasons or magic or revolutionary politics.

Actually it is about particle physics.

To see how I arrived at this conclusion note the following figure which shows the principal elementary particles contained within the standard model of particle physics:

particles of the standard model

particles of the standard model

To the left of this picture are the fermions, divided into two sets of particles labelled “quarks” and “leptons”. Each of these consists of three pairs (“isospin doublets”), each pair defining a “generation”. This structure of twos and threes is perfectly represented in The Magic Flute.

Let’s consider the leptons first. These can be clearly identified with the three ladies who lust after the hero Tamino in Act 1. This emotional charge is clearly analogous to the electromagnetic charge carried by the massive leptons (the electron, muon and tauon, lying along the bottom of the diagram). The other components in the leptonic sector must be the three boys who pop up every now and again to help Papageno with useful advice about when to jangle his magic bells. These must therefore be the neutrinos, which are less massive than the ladies, and are also neutral (although I hesitate to suggest that this means they should be castrati). They don’t play a very big part in the show because they participate only in weak interactions.

Next we have the quarks, also arrayed in three generations of pairs. These interact more strongly than the leptons and are also more colourful. The first generation is easy to identify, from the phenomenology of the Opera, as consisting of the hero Tamino (d for down) and his beloved Pamina (u for up); her voice is higher than his, hence the identification. The second generation must comprise the crazy birdcatcher Papageno (s for strange) and his alluring madchen who is called Papagena (c for charmed). That just leaves the final pairing which clearly is the basso profundo and fount of all wisdom Sarastro (b for bottom) and my favourite character and role model the Queen of the Night (t for top).

To provide corroboration of the identification of the Queen of the Night with the “top” quark, here is a clip from Youtube of a bevy of famous operatic sopranos having a go at the immensely different coloratura passage from the Act 1 aria “O Zittre Nicht, mein leiber Sohn” culminating in a spectacular top F that lies beyond the range of most particle accelerators, never mind singers.

There’s some splendid frocks in there too.

The Queen of the Night isn’t actually in the Opera very much. After this aria in Act 1 she disappears until the middle of Act 2, probably because she needs to have a lie down. When she comes back on she sings another glass-shattering aria (Der Hölle Rache kocht in meinem Herzen), which I like to listen to when I’m writing referee reports. The first line translates as “The rage of hell is boiling in my heart”.

The remaining members of the cast – The Speaker and Monostatos, as well as sundry priests, slaves, enchanted animals and the chorus – must make up the so-called Force carriers at the left of the table, which are bosons, but I haven’t had time to go through the identifications in detail. They’re just the supporting cast anyway. And there is one particle missing from the picture, the Higgs boson. This accounts for the masses of other particles by exerting a kind of drag on them so it clearly must be the Dragon from Act 1.

Professor Who?

Posted in Biographical, Music, Television, The Universe and Stuff with tags , , , , , on January 7, 2009 by telescoper

As a Professor of Astrophysics I am often asked “Why on Earth did you take up such a crazy subject?”

I guess many astronomers, physicists and other scientists have to answer this sort of question. For many of them there is probably a romantic reason, such as seeing the rings of Saturn or the majesty of the Milky Way on a dark night. Others will probably have been inspired by TV documentary series such as The Sky at Night, Carl Sagan’s Cosmos or even Horizon which, believe it or not, actually used to be quite good but which is nowadays uniformly dire. Or it could have been something a bit more mundane but no less stimulating such as a very good science teacher at school.

When I’m asked this question I’d love to be able to put my hand on my heart and give an answer of that sort but the truth is really quite a long way from those possibilities. The thing that probably did more than anything else to get me interested in science was a Science Fiction TV series or rather not exactly the series but the opening titles.

The first episode of Doctor Who was broadcast in the year of my birth, so I don’t remember it at all, but I do remember the astonishing effect the credits had on my imagination when I saw later episodes as a small child. Here are some tests for the sequence as it appeared in the very first series featuring William Hartnell as the first Doctor.

To a younger audience it probably all seems quite tame, but I think there’s a haunting, unearthly beauty to the shapes conjured up by Bernard Lodge. Having virtually no budget for graphics, he experimented in a darkened studio with an old-fashioned TV camera and a piece of black card with Doctor Who written on it in white. He created the spooky kaleidoscopic patterns you see by simply pointing the camera so it could see into its own monitor, thus producing a sort of electronic hall of mirrors.

What is so fascinating to me is how a relatively simple underlying concept could produce a rich assortment of patterns, particularly how they seem to take on an almost organic aspect as they merge and transform. I’ve continued to be struck by the idea that complexity could be produced by relatively simple natural laws which is one of the essential features of astrophysics and cosmology. As a practical demonstration of the universality of physics this sequence takes some beating.

As well as these strange and wonderful images, the titles also featured a pioneering piece of electronic music. Officially the composer was Ron Grainer, but he wasn’t very interested in the commission and simply scribbled the theme down and left it to the BBC to turn it into something useable. In stepped the wonderful Delia Derbyshire, unsung heroine of the BBC Radiophonic Workshop who, with only the crudest electronic equipment available, turned it into a little masterpiece. Ethereal yet propulsive, the original theme from Doctor Who is definitely one of my absolute favourite pieces of music and I’m glad to see that Delia Derbyshire is now receiving the acclaim she deserves from serious music critics.

It’s ironic that I’ve now moved to Cardiff where new programmes of Doctor Who and its spin-off, the anagrammatic Torchwood, are made. One of the great things about the early episodes of Doctor Who was that the technology simply didn’t exist to do very good special effects. The scripts were consequently very careful to let the viewers’ imagination do all the work. That’s what made it so good. I’m pleased that the more recent incarnations of this show also don’t go overboard on the visuals. Perhaps thats a conscious attempt to appeal to people who saw the old ones as well as those too young to have done so. It’s just a pity the modern opening title music is so bad…

Anyway, I still love Doctor Who after all these years. It must sound daft to say that it inspired me to take up astrophysics, but it’s truer than any other explanation I can think of. Of course the career path is slightly different from a Timelord, but only slightly.

At any rate I think The Doctor is overdue for promotion. How about Professor Who?

Power isn’t Everything

Posted in The Universe and Stuff with tags , , , , , , , on January 6, 2009 by telescoper
Courtesy of NASA/WMAP science team

Courtesy of NASA/WMAP science team

The picture above shows the latest available all-sky map of fluctuations in the temperature of the cosmic microwave background across the sky as revealed by the Wilkinson Microwave Anisotropy Probe, known to its friends as WMAP.

I’ve spent many long hours fiddling with the data coming from the WMAP experiment, partly because I’ve never quite got over the fact that such wonderful data actually exists. When I started my doctorate in 1985 the whole field of CMB analysis was so much pie in the sky, as no experiments had yet been performed with the sensitivity to reveal the structures we now see. This is because they are very faint and easily buried in noise. The fluctuations in temperature from pixel to pixel across the sky are of order one part in a hundred thousand of the mean temperature (i.e. about 30 microKelvin on a background temperature of about 3 Kelvin). That’s smoother than the surface of a billiard ball. That’s why it took such a long time to make the map shown above, and why it is such a triumphant piece of science.

I blogged a few days ago about the idea that the structure we see in this map was produced by sound waves reverberating around the early Universe. The techniques cosmologists use to analyse this sound are similar to those used in branches of acoustics except that we only see things in projection on the celestial sphere which requires a bit of special consideration.

One of the things that sticks in my brain from my undergraduate years is being told that if a physicist doesn’t know what they are doing they should start by making a Fourier transform. This breaks down the phenomenon being studied into a set of independent plane waves with different wavelengths corresponding to the different tones present in a complicated sound.

It’s often very good advice to do such a decomposition for one-dimensional time series or fluctuation fields in three-dimensional Cartesian space, even you do know what you’re doing, but it doesn’t work with a sphere because plane waves don’t fit properly on a curved surface. Fortunately, however, there is a tried-and-tested alternative involving spherical harmonics rather than plane waves.

Spherical harmonics are quite complicated beasts mathematically but they have pretty similar properties to Fourier harmonics in many respects. In particular they are represented as complex numbers having real and imaginary parts or, equivalently, an amplitude and a phase (usually called an argument by mathematicians). The latter representation is the most useful one for CMB fluctuations because the simplest versions of inflation predict that the phases of each of the spherical harmonic modes should be randomly distributed. What this really means is that there is no information content in their distribution so that the harmonic modes are in a state of maximum statistical disorder or entropy. This property also guarantees that the distribution of fluctuations over the sky should have a Gaussian distribution.

If you accept that the fluctuations are Gaussian then only the amplitudes of the spherical harmonic coefficients are useful. Indeed, their statistical properties can be specified entirely by the variance of these amplitudes as a function of mode frequency. This pre-eminently important function is called the power-spectrum of the fluctuations, and it is shown here for the WMAP data:



Although the units on the axes are a bit strange it doesn”t require too much imagination to interpret this in terms of a sound spectrum. There is a characteristic tone (at the position of the peak) plus a couple of overtones. However these features are not sharp so the overall sound is not at all musical.

If the Gaussian assumption is correct then the power-spectrum contains all the useful statistical information to be gleaned from the CMB sky, which is why so much emphasis has been placed on extracting it accurately from the data.

Conversely, though, the power spectrum is completely insenstive to any information in the distribution of spherical harmonic phases. If something beyond the standard model made the Universe non-Gaussian it would affect the phases of the harmonic modes in a way that would make them non-random.

So far, so good. It sounds like it should be a straightforward job to work out whether the WMAP phases are random or not. Unfortunately, though, this task is heavily complicated by the presence of noise and systematics which can be quite easily cleaned from the spectrum but not from more sophisticated descriptors. All we can say so far is that the data seem to be consistent with a Gaussian distribution.

However, I thought I’d end with a bit of fun and show you how important phase information could actually be, if only we could find a good way of exploiting it. Let’s start with a map of the Earth, with the colour representing height of the surface above mean sea level:


You can see the major mountain ranges (Andes, Himalayas) quite clearly as red in this picture and note how high Antarctica is…that’s one of the reasons so much astronomy is done there.

Now, using the same colour scale we have the WMAP data again (in Galactic coordinates).


The virture of this map is that it shows how smooth the microwave sky is compared to the surface of the Earth. Note also that you can see a bit of crud in the plane of the Milky Way that serves as a reminder of the difficulty of cleaning the foregrounds out.

Clearly these two maps have completely different power spectra. The Earth is dominated by large features made from long-wavelength modes whereas the CMB sky has relatively more small-scale fuzz.

Now I’m going to play with these maps in the following rather peculiar way. First, I make a spherical harmonic transform of each of them. This gives me two sets of complex numbers, one for the Earth and one for WMAP. Following the usual fashion, I think of these as two sets of amplitudes and two sets of phases. Note that the spherical harmonic transformation preserves all the information in the sky maps, it’s just a different representation.

Now what I do is swap the amplitudes and phases for the two maps. First, I take the amplitudes of WMAP and put them with the phases for the Earth. That gives me the spherical harmonic representation of a new data set which I can reveal by doing an inverse spherical transform:


This map has exactly the same amplitudes for each mode as the WMAP data and therefore possesses an identical power spectrum to that shown above. Clearly, though, this particular CMB sky is not compatible with the standard cosmological model! Notice that all the strongly localised features such as coastlines appear by virtue of information contained in the phases but absent from the power-spectrum.

To understand this think how sharp features appear in a Fourier transform. A sharp spike at a specific location actually produces a broad spectrum of Fourier modes with different frequencies. These modes have to add in coherently at the location of the spike and cancel out everywhere else, so their phases are strongly correlated. A sea of white noise also has a flat power spectrum but has random phases. The key difference between these two configurations is not revealed by their spectra but by their phases.

Fortunately there is nothing quite as wacky as a picture of the Earth in the real data, but it makes the point that there are more things in Heaven and Earth than can be described in terms of the power spectrum!

Finally, perhaps in your mind’s eye you might consider what it might look lie to do the reverse experiment: recombine the phases of WMAP with the amplitudes of the Earth.



If the WMAP data are actually Gaussian, then this map is a sort of random-phase realisation of the Earth’s power spectrum. Alternatively you can see that it is the result of running a kind of weird low-pass filter over the WMAP fluctuations. The only striking things it reveals are (i) a big blue hole associated with foreground contamination, (ii) a suspicious excess of red in the galactic plane owing to the same problem, and (iiI) a strong North-South asymmetry arising from the presence of Antarctica.

There’s no great scientific result here, just a proof that spherical harmonics can be fun.

PS. These pictures were made by a former PhD student of mine, Patrick Dineen, who has since quit astronomy to work in high finance. I hope he is weathering the global financial storm!

Freddie Hubbard

Posted in Jazz, Music with tags , on January 2, 2009 by telescoper

A few days ago I heard of the death at the age of 70 of the legendary jazz trumpeter, Freddie Hubbard. He had been ill for some time and had been in hospital in Los Angeles after having a heart attack about a month ago. His death closes a brilliant chapter in the book of American Jazz, as Freddie Hubbard was last survivor of triumvirate of brilliant young trumpeters who revitalised the jazz scene of the late 50s and provided an alternative direction to that of Miles Davis. The other members of this trio were Booker Little (died of kidney failure in 1961, aged 23) and Lee Morgan (shot to death in 1972, aged 33). Stylistically these players were descended from the great Clifford Brown who also died tragically young (in a car accident in 1956 at the age of 25), but Freddie Hubbard was the only one to achieve some measure of physical longevity alongside a longlasting musical reputation.

One of the first modern jazz albums I ever bought (Herbie Hancock’s Takin’ Off), featured Freddie Hubbard with Dexter Gordon on tenor sax. His solo on the track Watermelon Man is rightly acknowledged as a classic and it remains one of my absolute favourite trumpet solos to this day. In a completely different style, but also on the famous Blue Note label, he played with the outrageously brilliant Eric Dolphy on the pioneering free jazz album Out to Lunch.

I’ve been meaning to put something up about Eric Dolphy for some time because I think of him as an utter genius, but that will have to wait. I will, however, carry on in a somewhat morbid vein to point out that he died aged 36 in 1964 of diabetic shock while on tour in Berlin. He had collapsed onstage after taking an incorrect insulin dose and was taken to hospital. The doctors there, however, had no idea he was diabetic and assumed he had taken a drug overdose and failed to take the simple course of action that would have saved his life.

Freddie Hubbard was a versatile and virtuosic player, who played on a staggering number of the greatest jazz records of his time. That’s what you have to do to become a legend. I think he will probably be best remembered for the driving hard-bop style exemplified by drummer Art Blakey‘s magnificent band The Jazz Messengers, which Freddie joined in 1961 after replacing Lee Morgan as the trumpeter. This band survived many incarnations until the leader died in 1990. I saw them play live in 1980 and they were terrific.

Here they are in 1961, just after Freddie joined them, on a live version of the classic Moanin’ with Cedar Walton on piano, Curtis Fuller on trombone and Wayne Shorter on tenor sax.


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