# Polymeter vs Polyrhythm

What is the difference between a polymeter and a polyrhythm? Do these words mean anything different for different instruments?

PS: I'm a drummer.

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Hopefully these examples of 5/4:4/4 polymeter and 5:4 polyrhythm clears it up.

# Polymeter

Here is a simple example of 5/4 over 4/4 polymeter notated in 4/4 time. Notice how voice A's meter is five beats (the accents illustrates the starts), while voice B's meter is four beats, and they are sort of modulating over each other. After 20 beats their accented beats will coincide again. Important is that the beat tempo is the same for both voices!

Here is the same example but notated in 5/4 time:

You could also notate voices A and B each with a different time signatures (explicit polymeter notation), but it might look confusing if you're not used to it when the bar lines don't line up inbetween the staves.

# Polyrhythm

Here is a simple example of 5:4 polyrhythm notated in 4/4 time. Notice how both voices coincide and have emphasis on the first beat of each measure (or rather each complete beat ratio). Important is that the beat tempo is different between the two rhythms of voice A and B!

Here is the same example but notated in 5/4 time:

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Thanks for the examples. I never understood it until now. Great answer! (+1) – American Luke May 4 '13 at 1:38

The first answer by Ulf is how I would use the terms also. I'll just point out that there are of course more complex ways of playing polymeters and polyrhythms than just using equally long beats for each of the two (or more) lines. In fact, polymeter and polyrhythm are not two different things, but two ends of a spectrum. For instance, if you take Ulf's example of a five against four polymeter but just play the first note of every group of five and of every group of four, you have a five against four polyrhythm.

If anyone's interested, here's an example of a polymetric piece in 12 against 47:

cheers from rainy Vienna, Scott

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Note that they are only conceptually different. Any polymeter can be expressed as a polyrhythm and vice versa. To take the written example already provided, the top line is the polymeter and the bottom line is exactly the same thing written as a polyrhythm:

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Perhaps there is confusion between polyrhythm and polymeter because there is actually no such word as polymeter: http://www.oxforddictionaries.com/spellcheck/english/?q=polymeter

I think it's best to stick to polyrhythm and then use other words to describe the type or characteristics of the polyrhythm.

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Polymeter exists: www2.siba.fi/muste1/index.php?id=101&la=en – Dom Mar 26 '15 at 23:43

Polyrhythms are multi-rhythms as in a bar of ,say, 8 quavers played against 12 quaver triplets (in the same bar).They don't necessarily fit properly,but they are playable.So, the bar length stays the same, but the divisions in it are varied simultaneously against another rhythm pattern in the same bar. Polymeters are changing lengths of bars in the same piece,e.g. 4/4 followed by 7/4 followed by 3/4, all the crotchets being equal in time to each other.An example would be 'Closest Thing to Crazy' by Katie Melua, or lots of stuff by Stravinsky.
Polymeters are also instruments used to measure differing values, e.g. temperature and voltage!!Not much use to drummers.

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Polyrhythm and polymeter demonstrate the outer limits of written music. In truth if I play a seven note repeating phrase over a four note phrase at the same speed they will synchronise every 28 notes. I can notate this within one bar or I can fit one phrase in a bar and have the other run over the bar lines. It should sound the same either way. Music notation has not yet matured sufficiently to cover a full range of polyrhythms. Personally, as I am very interested in polyrhythm (I have named nearly 40 million of them) I tend not to use bar lines, and avoid using the word polymeter. I suppose if I was improvising in 7s over 4s (varying the 7 and 4 patterns) I might technically call it polymeter but I would expect to have to explain the word to most folks, most people I meet have some understanding of the word polyrhythm.

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Welcome to Stack Exchange, Andrew.Not the Andrew who has a place in Normandie? I didn't realise there were 40,000,000 words available for nomenclature ! – Tim Apr 30 '13 at 11:44
Hi Tim. Sorry, no Normandie connection (I'm on the Llyn Peninsula in North Wales). I use 8712 Names for the rhythms up to 16 beats long and additional words for the nature of the interaction of the two rhythms when they combine to make a polyrhythm - for example there are 5 ways that a 10 beat long rhythm will combine with a 15 beat rhythm. This way the name of each polyrhythm tells you exactly how it sounds. – Chaparral Andrew Hodges Apr 30 '13 at 13:07
Can you give an example of a name for a polyrhythm? – ecline6 May 1 '13 at 22:19
The simplest polyrhythm that does not include straight Beats is 'Geera Ak Hap Djeb'. 'Geera' is 1110 in integer notation and 'Djeb' is 110. 'Hap Djeb' means that the Djeb is stretched twice as long (101000) 'Ak' means that the two rhythms start together in normal form. 'Geera Ak Hap Djeb' runs B1B011B0B110 (Both hands play B) 'Geera El Hap Djeb' runs 1B1211121B10 (Where the Geera and the Hap Djeb start out of phase) – Chaparral Andrew Hodges May 2 '13 at 22:51
I am currently editing rhythms that are 10 against 15. a good example is 'Cong Ob Grotam' which runs 121210210010121021201210100120 and contains no 'Both' beats. – Chaparral Andrew Hodges May 2 '13 at 22:56

Polymeter : different voices/instruments that play different meters that desynchronize themselfs (a 9/8 piano part against a 4/4 drum part, or 7/8 on a 3/4

Polyrythms : different subdivisions that fit in the same bar. The classic Christmas tune "Carol of the bells" is an example of 2 against 3. Traditional cuban rumba, and lots of west African drum rhythms use 6 against 4.

Source : this

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Are you sure about Carol of the Bells? Sounds to me like it's just regular old 3 all the way through. – ecline6 Apr 29 '13 at 13:30
Just listened to Carol of the Bells (who was she ?....)and it's in 6/8.So, compound duple. – Tim Apr 29 '13 at 19:38
It's not a duple. You would hear dotted quarters all over the place if it were in 2. 6/8 can represent duples and triples. Here it is most definitely a triple. – ecline6 Apr 29 '13 at 21:57
I've heard the version Tim's talking about. It also has a weird modulation to major that I haven't figured out. Can't remember the artist's name either. :( – luser droog Apr 30 '13 at 5:08
Mykola Leontovich.Old trad.Ukranian (the song...)Some copies are written 3/4 some 3/8, but the said version had a slow 2 feel amongst the quick 3s, so probably the choir sang with that feel on purpose - musical licence ! – Tim Apr 30 '13 at 5:29