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'''''101-EDO''''' divides the [[Octave|octave]] into 101 equal parts of 11.881 [[cent|cent]]s each. It can be used to tune the [[Schismatic_family|grackle temperament]]. It is the 26th [[prime_numbers|prime]] edo. The 101cd val provides an excellent tuning for [[Magic_family#Witchcraft|witchcraft temperament]], falling between the 13 and 15 limit least squares tuning.
'''''101-EDO''''' divides the [[octave]] into 101 equal parts of 11.881 [[cent]]s each. It can be used to tune the [[grackle]] temperament. It is the 26th [[prime EDO]]. The 101cd val provides an excellent tuning for [[witchcraft]] temperament, falling between the 13 and 15 limit least squares tuning.


[[5-limit|5-limit]] commas: 32805/32768, <5 13 -11|
;[[5-limit]] commas: 32805/32768, <5 13 -11|
;[[7-limit]] commas: 126/125, 32805/32768, 2430/2401


[[7-limit|7-limit]] commas: 126/125, 32805/32768, 2430/2401
== Some important MOS scales ==
 
==<u>Some important MOS scales:</u>==


'''25 13 25 25 13:''' ''3L2s MOS'' (Pentatonic)
'''25 13 25 25 13:''' ''3L2s MOS'' (Pentatonic)


{| class="wikitable"
{| class="wikitable"
! Steps
! Cents
|-
|-
| | 25
| 25
| | 297.03
| 297.03
|-
|-
| | 38
| 38
| | 451.485
| 451.485
|-
|-
| | 63
| 63
| | 748.515
| 748.515
|-
|-
| | 88
| 88
| | 1045.545
| 1045.545
|}
|}
'''17 17 8 17 17 17 8:''' ''5L2s MOS'' (Diatonic Pythagorean)
'''17 17 8 17 17 17 8:''' ''5L2s MOS'' (Diatonic Pythagorean)


{| class="wikitable"
{| class="wikitable"
! Steps
! Cents
|-
|-
| | '''17'''
| '''17'''
| | '''201.98'''
| '''201.98'''
|-
|-
| | 34
| 34
| | 403.96
| 403.96
|-
|-
| | '''42'''
| '''42'''
| | '''499.01'''
| '''499.01'''
|-
|-
| | '''59'''
| '''59'''
| | '''700.99'''
| '''700.99'''
|-
|-
| | '''76'''
| '''76'''
| | '''902.97'''
| '''902.97'''
|-
|-
| | 93
| 93
| | 1104.95
| 1104.95
|}
|}
'''13 13 13 13 13 13 13 10:''' ''7L1s MOS'' (Grumpy Octatonic)
'''13 13 13 13 13 13 13 10:''' ''7L1s MOS'' (Grumpy Octatonic)


{| class="wikitable"
{| class="wikitable"
! Steps
! Cents
|-
|-
| | 13
| 13
| | 154.455
| 154.455
|-
|-
| | 26
| 26
| | 308.911
| 308.911
|-
|-
| | 39
| 39
| | 463.366
| 463.366
|-
|-
| | 52
| 52
| | 617.822
| 617.822
|-
|-
| | 65
| 65
| | 772.277
| 772.277
|-
|-
| | 78
| 78
| | 926.733
| 926.733
|-
|-
| | 91
| 91
| | 1081.188
| 1081.188
|}
|}
'''13 13 13 5 13 13 13 13 5:''' ''7L2s MOS'' (Superdiatonic 1/13-tone 13;5 relation)
'''13 13 13 5 13 13 13 13 5:''' ''7L2s MOS'' (Superdiatonic 1/13-tone 13;5 relation)


{| class="wikitable"
{| class="wikitable"
! Steps
! Cents
|-
|-
| | '''13/101'''
| '''13'''
| | '''154.455'''
| '''154.455'''
|-
|-
| | '''26/101'''
| '''26'''
| | '''308.911'''
| '''308.911'''
|-
|-
| | 39/101
| 39
| | 463.366
| 463.366
|-
|-
| | '''44/101'''
| '''44'''
| | '''522.772'''
| '''522.772'''
|-
|-
| | '''57/101'''
| '''57'''
| | '''677.228'''
| '''677.228'''
|-
|-
| | '''70/101'''
| '''70'''
| | '''831.683'''
| '''831.683'''
|-
|-
| | '''83/101'''
| '''83'''
| | '''986.139'''
| '''986.139'''
|-
|-
| | 96/101
| 96
| | 1045.545
| 1045.545
|}
|}
'''10 10 7 10 10 10 7 10 10 10 7:''' ''8L3s MOS'' (Improper Sensi-11)
'''10 10 7 10 10 10 7 10 10 10 7:''' ''8L3s MOS'' (Improper Sensi-11)


{| class="wikitable"
{| class="wikitable"
! Steps
! Cents
|-
|-
| | '''10'''
| '''10'''
| | '''118.812'''
| '''118.812'''
|-
|-
| | 20
| 20
| | 237.624
| 237.624
|-
|-
| | '''27'''
| '''27'''
| | '''320.792'''
| '''320.792'''
|-
|-
| | '''37'''
| '''37'''
| | '''439.604'''
| '''439.604'''
|-
|-
| | '''47'''
| '''47'''
| | '''558.416'''
| '''558.416'''
|-
|-
| | 57
| 57
| | 677.228
| 677.228
|-
|-
| | '''64'''
| '''64'''
| | '''760.396'''
| '''760.396'''
|-
|-
| | '''74'''
| '''74'''
| | '''879.218'''
| '''879.218'''
|-
|-
| | '''84'''
| '''84'''
| | '''998.03'''
| '''998.03'''
|-
|-
| | 94
| 94
| | 1116.842
| 1116.842
|}
|}
'''7 7 7 8 7 7 7 7 8 7 7 7 7 8:''' ''3L11s MOS'' (Anti-Ketradektriatoh)
'''7 7 7 8 7 7 7 7 8 7 7 7 7 8:''' ''3L11s MOS'' (Anti-Ketradektriatoh)


{| class="wikitable"
{| class="wikitable"
! Steps
! Cents
|-
|-
| | '''7'''
| '''7'''
| | '''83.168'''
| '''83.168'''
|-
|-
| | '''14'''
| '''14'''
| | '''166.337'''
| '''166.337'''
|-
|-
| | 22
| 22
| | 261.386
| 261.386
|-
|-
| | '''29'''
| '''29'''
| | '''344.5545'''
| '''344.5545'''
|-
|-
| | '''36'''
| '''36'''
| | '''427.723'''
| '''427.723'''
|-
|-
| | '''43'''
| '''43'''
| | '''510.891'''
| '''510.891'''
|-
|-
| | '''50'''
| '''50'''
| | '''594.0595'''
| '''594.0595'''
|-
|-
| | 58
| 58
| | 689.119
| 689.119
|-
|-
| | '''65'''
| '''65'''
| | '''772.287'''
| '''772.287'''
|-
|-
| | '''72'''
| '''72'''
| | '''855.4455'''
| '''855.4455'''
|-
|-
| | '''79'''
| '''79'''
| | '''938.614'''
| '''938.614'''
|-
|-
| | '''86'''
| '''86'''
| | '''1021.782'''
| '''1021.782'''
|-
|-
| | 93
| 93
| | 1104.95
| 1104.95
|}
|}


=Links=
== Links ==
[http://tech.groups.yahoo.com/group/tuning-math/message/11157 The Ellis duodene in 101-equal]
[http://tech.groups.yahoo.com/group/tuning-math/message/11157 The Ellis duodene in 101-equal]


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[[Category:Edo]]
[[Category:Edo]]
[[Category:Grackle]]
[[Category:Grackle]]
[[Category:Prime edo]]
[[Category:Prime EDO]]
[[Category:Pythagorean]]
[[Category:Pythagorean]]
[[Category:Scales]]
[[Category:Scales]]
Retrieved from "https://en.xen.wiki/w/101edo"