63edo: Difference between revisions

m Intervals: Fix subgroup description
Regular temperament properties: + leapweek/leapmonth
 
(5 intermediate revisions by 3 users not shown)
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| 10
| 10
| 190.5
| 190.5
| [[19/17]], [[29/26]], [[39/35]], [[49/44]]
| [[29/26]], [[39/35]], [[49/44]]
|-
|-
| 11
| 11
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| 53
| 53
| 1009.5
| 1009.5
| [[34/19]], [[52/29]], [[70/39]], [[88/49]]
| [[52/29]], [[70/39]], [[88/49]]
|-
|-
| 54
| 54
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| [[2/1]]
| [[2/1]]
|}
|}
<nowiki>*</nowiki> As a 2.3.5.7.11.13.19/17.23.29.31-subgroup (no-17 no-19 31-limit add-19/17) temperament, inconsistent intervals in ''italics''
<nowiki>*</nowiki> As a 2.3.5.7.11.13.23.29.31-subgroup (no-17 no-19 31-limit) temperament, inconsistent intervals in ''italics''


See the below section for a machine-generated table including higher-limit ratios selected with a mind towards higher accuracy.
See the below section for a machine-generated table including higher-limit ratios selected with a mind towards higher accuracy.
Line 640: Line 640:
| 2.3.5.7.11
| 2.3.5.7.11
| 100/99, 225/224, 245/243, 1331/1323
| 100/99, 225/224, 245/243, 1331/1323
| {{mapping| 63 100 146 177 218 }}
| {{Mapping| 63 100 146 177 218 }}
| -0.141
| -0.141
| 1.37
| 1.37
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| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 100/99, 169/168, 225/224, 245/243, 275/273
| 100/99, 169/168, 225/224, 245/243, 275/273
| {{mapping| 63 100 146 177 218 233 }}
| {{Mapping| 63 100 146 177 218 233 }}
| -0.008
| -0.008
| 1.28
| 1.28
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| 1
| 1
| 2\63
| 2\63
| 38.10
| 38.1
| 49/48
| 49/48
| [[Slender]]
| [[Slender]]
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| 1
| 1
| 13\63
| 13\63
| 247.62
| 247.6
| 15/13
| 15/13
| [[Immune]]
| [[Immune]]
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| 1
| 1
| 19\63
| 19\63
| 361.90
| 361.9
| 16/13
| 16/13
| [[Submajor]]
| [[Demibuzzard]] / submajor
|-
|-
| 1
| 1
| 20\63
| 20\63
| 380.95
| 381.0
| 5/4
| 5/4
| [[Magic]]
| [[Magic]]
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| 1
| 1
| 25\63
| 25\63
| 476.19
| 476.2
| 21/16
| 21/16
| [[Subfourth]]
| [[Subfourth]] / [[lemongrass]]
|-
| 1
| 26\63
| 495.2
| 4/3
| [[Leapweek]] / [[leapmonth]]
|-
|-
| 3
| 3
| 26\63<br>(5\63)
| 26\63<br>(5\63)
| 495.24<br>(95.24)
| 495.2<br>(95.2)
| 4/3<br>(21/20)
| 4/3<br>(21/20)
| [[Fog]]
| [[Fog]]
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| 7
| 7
| 26\63<br>(1\63)
| 26\63<br>(1\63)
| 495.24<br>(19.05)
| 495.2<br>(19.0)
| 4/3<br>(64/63)
| 4/3<br>(64/63)
| [[Sevond]]
| [[Sevond]]
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| 9
| 9
| 13\63<br>(1\63)
| 13\63<br>(1\63)
| 247.62<br>(19.05)
| 247.6<br>(19.0)
| 15/13<br>(99/98)
| 15/13<br>(99/98)
| [[Enneaportent]]
| [[Enneaportent]]
|}
|}
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[normal lists|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct


== Scales ==
== Scales ==
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* [https://www.youtube.com/shorts/IYLzF4ogl_w ''microtonal improvisation in 63edo''] (2025)
* [https://www.youtube.com/shorts/IYLzF4ogl_w ''microtonal improvisation in 63edo''] (2025)
* [https://www.youtube.com/shorts/EEAJ0AaWoJM ''63edo improv''] (2025)
* [https://www.youtube.com/shorts/EEAJ0AaWoJM ''63edo improv''] (2025)
* [https://www.youtube.com/shorts/l-M2FZn2nC0 ''Venus as a Boy - Björk (microtonal cover in 63edo)''] (2025)
* [https://www.youtube.com/shorts/qSFURozTf5A ''Hartmann's Youkai Girl - ZUN (microtonal cover in 63edo)''] (2026)


; [[Cam Taylor]]
; [[Cam Taylor]]