72edo: Difference between revisions

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 == Theory ==
-{| class="wikitable center-all"
-! colspan="2" |
+{{Primes in edo|72|columns=11}}
-! prime 2
-! prime 3
+'''72-tone equal temperament''', or '''72-edo''', divides the octave into 72 steps or ''moria''. This produces a twelfth-tone tuning, with the whole tone measuring 200 cents, the same as in 12-tone equal temperament. 72-tone is also a superset of [[24edo|24-tone equal temperament]], a common and standard tuning of [[Arabic,_Turkish,_Persian|Arabic]] music, and has itself been used to tune Turkish music.
-! prime 5
-! prime 7
-! prime 11
-! prime 13
-! prime 17
-! prime 19
-! prime 23
-! prime 29
-! prime 31
-|-
-! rowspan="2" |Error
-! absolute (¢)
-| 0.000
-|  -1.955
-|  -2.980
-|  -2.159
-|  -1.318
-|  -7.194
-|  -4.955
-|  +2.487
-|  +5.059
-|  +3.756
-|  +4.964
-|-
-![[Relative error|relative]] (%)
-| 0.0
-|  -11.7
-|  -17.9
-|  -13.0
-|  -7.9
-|  -43.2
-|  -29.7
-|  +14.9
-|  +30.4
-|  +22.5
-|  +29.8
-|}'''72-tone equal temperament''', or '''72-edo''', divides the octave into 72 steps or ''moria''. This produces a twelfth-tone tuning, with the whole tone measuring 200 cents, the same as in 12-tone equal temperament. 72-tone is also a superset of [[24edo|24-tone equal temperament]], a common and standard tuning of [[Arabic,_Turkish,_Persian|Arabic]] music, and has itself been used to tune Turkish music.
 Composers that used 72-tone include Alois Hába, Ivan Wyschnegradsky, Julián Carillo (who is better associated with [[96edo]]), Iannis Xenakis, Ezra Sims, James Tenney and the jazz musician Joe Maneri.