131edo: Difference between revisions
Jump to navigation
Jump to search
deleted extra title header |
adjusted sorting on category page, cleanup |
||
| Line 1: | Line 1: | ||
'''131-EDO''', or '''131-tET''', divides the octave into 131 equal steps of approx. 9.1603 Cents, each one. 131edo is the next [[ | '''131-EDO''', or '''131-tET''', divides the octave into 131 equal steps of approx. 9.1603 Cents, each one. 131edo is the next [[EDO]], after [[81edo]], on the "Golden Tone System" ([[Das Goldene Tonsystem]]) of Thorvald Kornerup, using the 131b val. The patent val has a fifth sharp by 3.389 cents rather than flat like the meantone fifth; rather than tempering out 81/80 it tempers out the immunity comma, 1638400/1594323. In the 7-limit it tempers out 3125/3087 and 245/243, so that it supports [[Sensamagic_clan#Bohpier|bophier temperament]]. | ||
131edo is the 32nd [[ | 131edo is the 32nd [[prime]] EDO. | ||
<u>'''Some MOS Scales in 131-EDO:'''</u> | <u>'''Some MOS Scales in 131-EDO:'''</u> | ||
| Line 7: | Line 7: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| 33 16 33 33 16 | |||
| [[3L_2s|Pentatonic]] (comparable with [[8edo]] and [[99edo]]) | |||
|- | |- | ||
| 23 23 8 23 23 23 8 | |||
| [[5L_2s|Pythagorean tuning]] (comparable with [[17edo]]) | |||
|- | |- | ||
| 21 21 13 21 21 21 13 | |||
| [[5L_2s|Meantone tuning]] (comparable with [[50edo]]) | |||
|- | |- | ||
| 19 12 19 19 12 19 19 12 | |||
| [[5L_3s|Father Tuning]] (comparable with [[55edo]]) | |||
|- | |- | ||
| 18 18 18 18 18 18 18 5 | |||
| [[7L_1s|Porcupine Tuning]] (comparable with [[29edo]] and [[80edo]]) | |||
|- | |- | ||
| 17 17 17 6 17 17 17 17 6 | |||
| [[7L_2s|Superdiatonic tuning]] (comparable with [[23edo]]) | |||
|- | |- | ||
| 13 13 9 13 13 13 9 13 13 13 9 | |||
| Improper [[Sensi-11 Tuning]] | |||
|- | |- | ||
| 11 11 11 11 11 5 11 11 11 11 11 11 5 | |||
| De Vries 13-tone Tuning | |||
|- | |- | ||
| 10 10 10 7 10 10 10 10 7 10 10 10 10 7 | |||
| [[11L_3s|Ketradektriatoh Tuning]] | |||
|- | |- | ||
| 21 17 21 17 17 21 17 | |||
| [[mohaha7]] | |||
|- | |- | ||
| 4 17 17 17 4 17 17 4 17 17 | |||
| [[mohaha10]] | |||
|} | |} | ||
[[Category:131edo| ]] <!-- main article --> | |||
[[Category:131edo]] | |||
[[Category:Armodue]] | [[Category:Armodue]] | ||
[[Category:Bohpier]] | [[Category:Bohpier]] | ||
Revision as of 18:39, 20 February 2021
131-EDO, or 131-tET, divides the octave into 131 equal steps of approx. 9.1603 Cents, each one. 131edo is the next EDO, after 81edo, on the "Golden Tone System" (Das Goldene Tonsystem) of Thorvald Kornerup, using the 131b val. The patent val has a fifth sharp by 3.389 cents rather than flat like the meantone fifth; rather than tempering out 81/80 it tempers out the immunity comma, 1638400/1594323. In the 7-limit it tempers out 3125/3087 and 245/243, so that it supports bophier temperament.
131edo is the 32nd prime EDO.
Some MOS Scales in 131-EDO:
| 33 16 33 33 16 | Pentatonic (comparable with 8edo and 99edo) |
| 23 23 8 23 23 23 8 | Pythagorean tuning (comparable with 17edo) |
| 21 21 13 21 21 21 13 | Meantone tuning (comparable with 50edo) |
| 19 12 19 19 12 19 19 12 | Father Tuning (comparable with 55edo) |
| 18 18 18 18 18 18 18 5 | Porcupine Tuning (comparable with 29edo and 80edo) |
| 17 17 17 6 17 17 17 17 6 | Superdiatonic tuning (comparable with 23edo) |
| 13 13 9 13 13 13 9 13 13 13 9 | Improper Sensi-11 Tuning |
| 11 11 11 11 11 5 11 11 11 11 11 11 5 | De Vries 13-tone Tuning |
| 10 10 10 7 10 10 10 10 7 10 10 10 10 7 | Ketradektriatoh Tuning |
| 21 17 21 17 17 21 17 | mohaha7 |
| 4 17 17 17 4 17 17 4 17 17 | mohaha10 |