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Intervals: added a table with interval names, work in progress
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== Intervals ==
== Intervals ==
{{Main| Table of 94edo intervals }}
{{Main| Table of 94edo intervals }}
 
Assuming [[23-limit]] [[patent val]] <94 149 218 264 325 348 384 399 425|, here is a table of intervals as approximated by [[94edo]] steps, and their corresponding 13-limit well-ordered extended diatonic interval names. Important 13-limit intervals approximated that are not associated with the extended diatonic interval names are added in brackets. Multiple alterations by 'k' (representing 81/80), down from augmented and major, or up from diminished and minor intervals are also added in brackets, along with their associated (5-limit) intervals.
{| class="wikitable"
|+94edo well-ordered extended diatonic (WED) interval names
|-
!Step
!Cents
!13-limit
!Short-form WED
!Diatonic
!Long-form
!23-limit
|-
| 1
|12.766
|896/891, 243/242, (3125/3072, 245/243, 99/98)
|L1, R1
|
|
|85/84
|-
| 2
|25.532
|81/80, 64/63, (50/49)
|K1, S1
|
|
|
|-
|3
|38.298
|45/44, 40/39, (250/243, 49/48)
|O1, H1
|
|
|46/45
|-
|4
| 51.064
|33/32, (128/125, 36/35)
|U1, T1
|
|
|
|-
|5
|63.830
|28/27, 729/704, 27/26, (25/24)
|sm2, uA1, tA1, (kkA1)
|dd3
|
|
|-
| 6
|76.596
|22/21, (648/625)
|lm2, oA1
|
|
|
|-
|7
|89.362
|256/243, 135/128, (21/20)
|m2, kA1
|m2
|
|19/18
|-
|8
|102.128
|128/121, (35/33)
|Rm2, rA1
|
|
|17/16, 18/17
|-
|9
|114.894
|16/15, (15/14)
|Km2, A1
|A1
|
|
|-
|10
|127.660
|320/297, 189/176, (14/13)
|Om2, LA1
|
|
|
|-
|11
|140.426
|88/81, 13/12, 243/224, (27/25)
|n2, Tm2, SA1, (kkm2)
|
|
|
|-
|12
|153.191
|12/11, (35/32)
|N2, HA1
|ddd4
|
|
|-
|13
| 165.957
|11/10
|oM2
|
|
|
|-
|14
|178.723
|10/9
|kM2
|d3
|
|
|-
|15
| 191.489
|121/108, (49/44, 39/35)
|rM2
|
|
|19/17
|-
|16
|204.255
|9/8
|M2
|M2
|
|
|-
|17
|217.021
|112/99, (25/22)
|LM2
|
|
|17/15
|-
|18
|229.787
|8/7
|SM2
|AA1
|
|
|-
|19
|242.553
|15/13
|HM2
|
|
|23/20
|-
| 20
|255.319
|52/45
|hm3
|
|
|22/19
|-
|21
|268.085
|7/6, (75/64)
|sm3, (kkA2)
|dd4
|
|
|-
| 22
|280.851
|33/28
|lm3
|
|
|20/17
|-
| 23
|293.617
|32/27, (25/21)
|m3
|m3
|
|13/11
|-
|24
| 306.383
|144/121, (81/70)
|Rm3
|
|
|
|-
|25
|319.149
|6/5
|Km3
|A2
|
|
|-
|26
|331.915
|40/33
|Om3
|
|
|17/14, 23/19
|-
|27
|344.681
|11/9, 39/32, (243/200, 60/49)
|n3, Tm3
|AAA1
|
|
|-
|28
|357.447
|27/22, 16/13, (100/81,49/40)
|N3, tM3
|ddd5
|
|
|-
|29
|370.213
|99/80, (26/21)
|oM3
|
|
|21/17
|-
| 30
|382.979
|5/4
|kM3
|d4
|
|
|-
|31
|395.745
|121/96, (34/27)
|rM3
|
|
|
|-
|32
| 408.511
|81/64, (33/26)
|M3
|M3
|
|19/15
|-
|33
|421.277
|14/11
|LM3
|
|
|23/18
|-
|34
|434.043
|9/7, (32/25)
|SM3, (KKd4)
|AA2
|
|
|-
| 35
| 446.809
|135/104, (35/27)
|HM3
|ddd6
|
|22/17
|-
|36
|459.574
|13/10
|h4
|
|
|
|-
|37
| 472.340
|21/16
|s4
|dd5
|
|
|-
|38
|485.106
|297/224
|l4
|
|
|
|-
| 39
|497.872
|4/3
|P4
|P4
|
|
|-
| 40
|510.638
|162/121, (35/36)
|R4
|
|
|
|-
|41
|523.404
|27/20
|K4
|A3
|
|19/14, 23/17
|-
|42
|536.170
|15/11
|O4
|
|
|
|-
|43
|548.936
|11/8
|U4, T4
|AAA2
|
|
|-
|44
|561.702
|243/176, 18/13, (25/18)
|uA4, tA4, (kkA4)
|dd6
|
|
|-
|45
|574.468
|88/63
|ld5, oA4
|
|
|
|-
| 46
|587.234
|45/32, (7/5)
|kA4
|d5
|
|
|-
| 47
|600.000
|363/256, 512/363, (99/70)
|rA4, Rd5
|
|
|17/12, 24/17
|-
|48
|612.766
|
|
|A4
|
|
|-
|49
|625.532
|
|
|
|
|
|-
| 50
|638.298
|
|
|
|
|
|-
|51
|651.064
|
|
|ddd7
|
|
|-
| 52
|663.830
|
|
|
|
|
|-
|53
|676.596
|
|
|d6
|
|
|-
|54
| 689.362
|
|
|
|
|
|-
|55
|702.128
|
|
|P5
|
|
|-
|56
|714.894
|
|
|
|
|
|-
|57
| 727.660
|
|
|AA4
|
|
|-
|58
|740.426
|
|
|
|
|
|-
|59
|753.191
|
|
|
|
|
|-
|60
|765.957
|
|
|dd7
|
|
|-
| 61
|778.723
|
|
|
|
|
|-
|62
|791.489
|
|
|m6
|
|
|-
|63
|804.255
|
|
|
|
|
|-
|64
|817.021
|
|
|A5
|
|
|-
|65
|829.787
|
|
|
|
|
|-
|66
|842.553
|
|
|AAA4
|
|
|-
|67
| 855.319
|
|
|ddd8
|
|
|-
|68
| 868.085
|
|
|
|
|
|-
|69
|880.851
|
|
|d7
|
|
|-
|70
|893.617
|
|
|
|
|
|-
|71
|906.383
|
|
|M6
|
|
|-
|72
|919.149
|
|
|
|
|
|-
|73
|931.915
|
|
|AA5
|
|
|-
|74
|944.681
|
|
|
|
|
|-
|75
|957.447
|
|
|
|
|
|-
|76
|970.213
|
|
|dd8
|
|
|-
|77
|982.979
|
|
|
|
|
|-
|78
|995.745
|
|
|m7
|
|
|-
| 79
|1008.511
|
|
|
|
|
|-
|80
|1021.277
|
|
|A6
|
|
|-
|81
|1034.043
|
|
|
|
|
|-
|82
| 1046.809
|
|
|AAA5
|
|
|-
|83
|1059.574
|
|
|
|
|
|-
|84
|1072.340
|
|
|
|
|
|-
|85
|1085.106
|
|
|d8
|
|
|-
|86
|1097.872
|
|
|
|
|
|-
|87
|1110.638
|
|
|M7
|
|
|-
|88
|1123.404
|
|
|
|
|
|-
|89
|1136.170
|
|
|AA6
|
|
|-
|90
|1148.936
|
|
|
|
|
|-
|91
| 1161.702
|
|
|
|
|
|-
|92
|1174.468
|
|
|
|
|
|-
|93
|1187.234
|
|
|
|
|
|-
|94
|1200.000
|
|
|P1
|
|
|}
== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"