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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|101}}
{{ED intro}}


== Theory ==
== Theory ==
Line 9: Line 9:


=== Subsets and supersets ===
=== Subsets and supersets ===
101edo is the 26th [[prime edo]], following [[97edo]] and before [[103edo]].
101edo is the 26th [[prime edo]], following [[97edo]] and before [[103edo]]. [[202edo]], which doubles it, provides a good correction to the 5th, 7th, and 11th harmonics.


== Intervals ==
== Intervals ==
Line 16: Line 16:
== Scales ==
== Scales ==
=== Mos scales ===
=== Mos scales ===
* 3L 2s: 25 13 25 25 13 ((25 38 63 88 101)\101){{clarify}} <!-- why is this significant? -->
* Grackle[7] 5L 2s: 17 17 8 17 17 17 8 ((17 34 42 59 76 93)\101)
* Pine 7L 1s: 13 13 13 13 13 13 13 10 ((13 26 39 52 65 78 91 101)\101)
* Superdiatonic 1/13-tone 13;5 relation: 13 13 13 5 13 13 13 13 5 ((13 26 39 44 57 70 83 96 101)\101)
* Sensi[11] 8L 3s: 10 10 7 10 10 10 7 10 10 10 7 ((10 20 27 37 47 57 64 74 84 94)\101){{clarify}} <!-- which val? -->
* Anti-Ketradektriatoh 3L 11s: 7 7 7 8 7 7 7 7 8 7 7 7 7 8 ((7 14 22 29 36 43 50 58 65 72 79 86 93 101)\101)


'''25 13 25 25 13:''' ''3L2s MOS'' (Pentatonic)
== Instruments ==
* [[Lumatone mapping for 101edo]]


{| class="wikitable right-all"
== Music ==
! Steps
; [[Francium]]
! Cents
* "Eggclent" from ''Eggs'' (2025) – [https://open.spotify.com/track/4S0BTeb9yDdMUuT1QJy26H Spotify] | [https://francium223.bandcamp.com/track/eggclent Bandcamp] | [https://www.youtube.com/watch?v=FAe4O71Mvj0 YouTube]
|-
| 25
| 297.030
|-
| 38
| 451.485
|-
| 63
| 748.515
|-
| 88
| 1045.545
|}
 
'''17 17 8 17 17 17 8:''' ''5L2s MOS'' (Diatonic Pythagorean)
 
{| class="wikitable right-all"
! Steps
! Cents
|-
| 17
| 201.980
|-
| 34
| 403.960
|-
| 42
| 499.010
|-
| 59
| 700.990
|-
| 76
| 902.970
|-
| 93
| 1104.950
|}
 
'''13 13 13 13 13 13 13 10:''' ''7L1s MOS'' (Grumpy Octatonic)
 
{| class="wikitable right-all"
! Steps
! Cents
|-
| 13
| 154.455
|-
| 26
| 308.911
|-
| 39
| 463.366
|-
| 52
| 617.822
|-
| 65
| 772.277
|-
| 78
| 926.733
|-
| 91
| 1081.188
|}
 
'''13 13 13 5 13 13 13 13 5:''' ''7L2s MOS'' (Superdiatonic 1/13-tone 13;5 relation)
 
{| class="wikitable right-all"
! Steps
! Cents
|-
| 13
| 154.455
|-
| 26
| 308.911
|-
| 39
| 463.366
|-
| 44
| 522.772
|-
| 57
| 677.228
|-
| 70
| 831.683
|-
| 83
| 986.139
|-
| 96
| 1045.545
|}
 
'''10 10 7 10 10 10 7 10 10 10 7:''' ''8L3s MOS'' (Improper Sensi-11)
 
{| class="wikitable right-all"
! Steps
! Cents
|-
| 10
| 118.812
|-
| 20
| 237.624
|-
| 27
| 320.792
|-
| 37
| 439.604
|-
| 47
| 558.416
|-
| 57
| 677.228
|-
| 64
| 760.396
|-
| 74
| 879.218
|-
| 84
| 998.020
|-
| 94
| 1116.842
|}
 
'''7 7 7 8 7 7 7 7 8 7 7 7 7 8:''' ''3L11s MOS'' (Anti-Ketradektriatoh)
 
{| class="wikitable right-all"
! Steps
! Cents
|-
| 7
| 83.168
|-
| 14
| 166.337
|-
| 22
| 261.386
|-
| 29
| 344.554
|-
| 36
| 427.723
|-
| 43
| 510.891
|-
| 50
| 594.059
|-
| 58
| 689.119
|-
| 65
| 772.287
|-
| 72
| 855.446
|-
| 79
| 938.614
|-
| 86
| 1021.782
|-
| 93
| 1104.950
|}


== External links ==
== External links ==
Retrieved from "https://en.xen.wiki/w/101edo"