73edo: Difference between revisions

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== Theory ==

73edo has a very sharp tendency, with the approximations of 3, 5, 7, 11 all sharp. The equal temperament tempers out [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]] and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.

73edo has a very sharp tendency, with the approximations of [[3/1|3]], [[5/1|5]], [[7/1|7]], [[11/1|11]] all sharp. The equal temperament [[tempering out|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]] and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.

73edo fits in [[mavila]] scale, by the 9;5 relation in the [[7L 2s|superdiatonic]] scheme.

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== Scales ==

* Porky[7]: 10 10 10 13 10 10 10 ((10, 20, 30, 43, 53, 63, 73)\73)

~~Palace (subset of [[~~Porky]][15])

* 164.384

* 328.767

* 493.151

* 706.849

* 871.233

* 1035.616

* 1200.000

== Music ==

; [[Claudi Meneghin]]

* [https://www.youtube.com/watch?v=NuCnLVijULo ''Little Fugue on Happy Birthday'']

* [https://www.youtube.com/watch?v=NuCnLVijULo ''Little Fugue on Happy Birthday''] (2020)

[[Category:Marrakesh]]

[[Category:Listen]]

@@ Line 3: / Line 3: @@
 == Theory ==
-edo has a very sharp tendency, with the approximations of 3, 5, 7, 11 all sharp. The equal temperament tempers out [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]] and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.
+edo has a very sharp tendency, with the approximations of [[3/1|3]], [[5/1|5]], [[7/1|7]], [[11/1|11]] all sharp. The equal temperament [[tempering out|tempers out]] [[78732/78125]] and [[262144/253125]] in the [[5-limit]]; [[126/125]] and [[245/243]] in the [[7-limit]]; [[176/175]], [[441/440]] and [[4000/3993]] in the [[11-limit]]; [[91/90]], [[169/168]], [[196/195]], [[325/324]], [[351/350]] and [[352/351]] in the [[13-limit]]. It provides the [[optimal patent val]] for the [[marrakesh]] temperament, though [[104edo]] and [[135edo]] tunes it better.
 edo fits in [[mavila]] scale, by the 9;5 relation in the [[7L 2s|superdiatonic]] scheme.
@@ Line 17: / Line 17: @@
 == Scales ==
+* Porky[7]: 10 10 10 13 10 10 10 ((10, 20, 30, 43, 53, 63, 73)\73)
-Palace (subset of [[Porky]][15])
-* 164.384
-* 328.767
-* 493.151
-* 706.849
-* 871.233
-* 1035.616
-* 1200.000
 == Music ==
 ; [[Claudi Meneghin]]
-* [https://www.youtube.com/watch?v=NuCnLVijULo ''Little Fugue on Happy Birthday'']
+* [https://www.youtube.com/watch?v=NuCnLVijULo ''Little Fugue on Happy Birthday''] (2020)
 [[Category:Marrakesh]]
 [[Category:Listen]]