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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! 5:4 Polymeter (notated in 4/4-time)

Here is the same example but notated in 5/4 time: 5:4 Polymeter (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! 5:4 Polyrhythm (notated in 4/4-time)

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

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Polymeter: different voices/instruments that play different meters that de-synchronize themselves (a 9/8 piano part against a 4/4 drum part, or 7/8 on a 3/4.

Polyrhythms: 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 : Meters, polymeters, polyrhythms, compound meters. What are the differences?

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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
    Commented Apr 29, 2013 at 13:30
  • Just listened to Carol of the Bells (who was she ?....)and it's in 6/8.So, compound duple.
    – Tim
    Commented Apr 29, 2013 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
    Commented Apr 29, 2013 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. :( Commented Apr 30, 2013 at 5:08
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    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
    Commented Apr 30, 2013 at 5:29
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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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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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  • That's a nice thought! I've often felt that the reason I find it so hard to separate polyrhythm and polymeter conceptually is because they feel the same to me in a strange way. Thanks for articulating why - polymeter creates polyrhythm from its downbeats.
    – yaxu
    Commented May 13, 2023 at 9:20
  • @yaxu - My pleasure. I find polymeters and polyrhythms and their combinations endlessly fascinating, like multifaceted crystals. They seem to lend themselves to meditation, right on the fringes of music. Commented May 16, 2023 at 14:27
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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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  • 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) Commented May 2, 2013 at 22:51
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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: enter image description here

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    No no, that is not true. In the polymeter example the notes coincide, but the repetitions do not. In the polyrhythm example the repetitions coincide, but the notes do not.
    – user34269
    Commented Oct 28, 2016 at 17:04
  • Both your examples are polymeters, just differently notated. Commented May 17, 2023 at 15:25

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