63edo: Difference between revisions
No need to remind readers of what a regular temperament is everywhere Tag: Undo |
→Regular temperament properties: + leapweek/leapmonth |
||
| (14 intermediate revisions by 5 users not shown) | |||
| Line 604: | Line 604: | ||
=== Interval mappings === | === Interval mappings === | ||
{{Q-odd-limit intervals}} | {{Q-odd-limit intervals}} | ||
== Regular temperament properties == | == Regular temperament properties == | ||
| Line 654: | 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 }} | ||
| -0.141 | | -0.141 | ||
| 1.37 | | 1.37 | ||
| Line 661: | Line 647: | ||
| 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 }} | ||
| -0.008 | | -0.008 | ||
| 1.28 | | 1.28 | ||
| Line 679: | Line 665: | ||
| 1 | | 1 | ||
| 2\63 | | 2\63 | ||
| 38. | | 38.1 | ||
| 49/48 | | 49/48 | ||
| [[Slender]] | | [[Slender]] | ||
| Line 685: | Line 671: | ||
| 1 | | 1 | ||
| 13\63 | | 13\63 | ||
| 247. | | 247.6 | ||
| 15/13 | | 15/13 | ||
| [[Immune]] | | [[Immune]] | ||
| Line 691: | Line 677: | ||
| 1 | | 1 | ||
| 19\63 | | 19\63 | ||
| 361. | | 361.9 | ||
| 16/13 | | 16/13 | ||
| [[ | | [[Demibuzzard]] / submajor | ||
|- | |- | ||
| 1 | | 1 | ||
| 20\63 | | 20\63 | ||
| | | 381.0 | ||
| 5/4 | | 5/4 | ||
| [[Magic]] | | [[Magic]] | ||
| Line 703: | Line 689: | ||
| 1 | | 1 | ||
| 25\63 | | 25\63 | ||
| 476. | | 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. | | 495.2<br>(95.2) | ||
| 4/3<br>(21/20) | | 4/3<br>(21/20) | ||
| [[Fog]] | | [[Fog]] | ||
| Line 715: | Line 707: | ||
| 7 | | 7 | ||
| 26\63<br>(1\63) | | 26\63<br>(1\63) | ||
| 495. | | 495.2<br>(19.0) | ||
| 4/3<br>( | | 4/3<br>(64/63) | ||
| [[Sevond]] | | [[Sevond]] | ||
|- | |- | ||
| 9 | | 9 | ||
| 13\63<br>(1\63) | | 13\63<br>(1\63) | ||
| 247. | | 247.6<br>(19.0) | ||
| 15/13<br>(99/98) | | 15/13<br>(99/98) | ||
| [[Enneaportent]] | | [[Enneaportent]] | ||
|} | |} | ||
<nowiki/>* [[Normal | <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 == | ||
* Approximation of ''[[Pelog]] lima'': 6 9 21 6 21 | * Approximation of ''[[Pelog]] lima'': 6 9 21 6 21 | ||
* Sandcastle (original/default tuning): 8 10 8 11 8 8 10 (is quasi-[[equiheptatonic]]) | |||
* Sandcastle (original/default tuning): 8 10 8 11 8 8 10 | |||
== Instruments == | |||
* [[Lumatone mapping for 63edo]] | |||
* [[Skip fretting system 63 3 17]] | |||
== Music == | == Music == | ||
; [[Bryan Deister]] | |||
* [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/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]] | ||
* [https://soundcloud.com/cam-taylor-2-1/12tone63edo1 ''Improvisation in 12-tone fifths chain''] (2015) | * [https://soundcloud.com/cam-taylor-2-1/12tone63edo1 ''Improvisation in 12-tone fifths chain''] (2015) | ||