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'''131-EDO''', or '''131-tET''', divides the octave into 131 equal steps of approx. 9.1603 Cents, each one. 131edo is the next [[EDO|EDO]], after [[81edo|81edo]], on the "Golden Tone System" ([[Das_Goldene_Tonsystem|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]].
'''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 [[prime_numbers|prime]] EDO.
131edo is the 32nd [[prime]] EDO.


<u>'''Some MOS Scales in 131-EDO:'''</u>
<u>'''Some MOS Scales in 131-EDO:'''</u>
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{| class="wikitable"
{| class="wikitable"
|-
|-
| | 33 16 33 33 16
| 33 16 33 33 16
| | [[3L_2s|Pentatonic]] (comparable with [[8edo|8edo]] and [[99edo|99edo]])
| [[3L_2s|Pentatonic]] (comparable with [[8edo]] and [[99edo]])
|-
|-
| | 23 23 8 23 23 23 8
| 23 23 8 23 23 23 8
| | [[5L_2s|Pythagorean tuning]] (comparable with [[17edo|17edo]])
| [[5L_2s|Pythagorean tuning]] (comparable with [[17edo]])
|-
|-
| | 21 21 13 21 21 21 13
| 21 21 13 21 21 21 13
| | [[5L_2s|Meantone tuning]] (comparable with [[50edo|50edo]])
| [[5L_2s|Meantone tuning]] (comparable with [[50edo]])
|-
|-
| | 19 12 19 19 12 19 19 12
| 19 12 19 19 12 19 19 12
| | [[5L_3s|Father Tuning]] (comparable with [[55edo|55edo]])
| [[5L_3s|Father Tuning]] (comparable with [[55edo]])
|-
|-
| | 18 18 18 18 18 18 18 5
| 18 18 18 18 18 18 18 5
| | [[7L_1s|Porcupine Tuning]] (comparable with [[29edo|29edo]] and [[80edo|80edo]])
| [[7L_1s|Porcupine Tuning]] (comparable with [[29edo]] and [[80edo]])
|-
|-
| | 17 17 17 6 17 17 17 17 6
| 17 17 17 6 17 17 17 17 6
| | [[7L_2s|Superdiatonic tuning]] (comparable with [[23edo|23edo]])
| [[7L_2s|Superdiatonic tuning]] (comparable with [[23edo]])
|-
|-
| | 13 13 9 13 13 13 9 13 13 13 9
| 13 13 9 13 13 13 9 13 13 13 9
| | Improper [[Sensi-11_Tuning|Sensi-11 Tuning]]
| Improper [[Sensi-11 Tuning]]
|-
|-
| | 11 11 11 11 11 5 11 11 11 11 11 11 5
| 11 11 11 11 11 5 11 11 11 11 11 11 5
| | De Vries 13-tone Tuning
| De Vries 13-tone Tuning
|-
|-
| | 10 10 10 7 10 10 10 10 7 10 10 10 10 7
| 10 10 10 7 10 10 10 10 7 10 10 10 10 7
| | [[11L_3s|Ketradektriatoh Tuning]]
| [[11L_3s|Ketradektriatoh Tuning]]
|-
|-
| | 21 17 21 17 17 21 17
| 21 17 21 17 17 21 17
| | [[mohaha7|mohaha7]]
| [[mohaha7]]
|-
|-
| | 4 17 17 17 4 17 17 4 17 17
| 4 17 17 17 4 17 17 4 17 17
| | [[mohaha10|mohaha10]]
| [[mohaha10]]
|}
|}


[[Category:131-tone]]
[[Category:131edo| ]] <!-- main article -->
[[Category:131edo]]
[[Category:Armodue]]
[[Category:Armodue]]
[[Category:Bohpier]]
[[Category:Bohpier]]
Retrieved from "https://en.xen.wiki/w/131edo"