130edo: Difference between revisions

m Cleanup
Move temperament generator info to RTT section and add ratios instead
Line 13: Line 13:
! Degree
! Degree
! Cents
! Cents
! Associated Temperament
! Approximate Ratios
|-
|-
| 0
| 0
| 0.000
| 0.000
|  
| 1/1
|-
|-
| 1
| 1
| 9.231
| 9.231
|  
| 126/125, 225/224
|-
|-
| 2
| 2
| 18.462
| 18.462
|  
| 81/80
|-
|-
| 3
| 3
| 27.692
| 27.692
|  
| 64/63
|-
|-
| 4
| 4
| 36.923
| 36.923
|  
| 49/48, 50/49
|-
|-
| 5
| 5
| 46.154
| 46.154
|  
| 36/35
|-
|-
| 6
| 6
| 55.385
| 55.385
|  
| 33/32
|-
|-
| 7
| 7
| 64.615
| 64.615
|  
| 28/27, 27/26
|-
|-
| 8
| 8
| 73.846
| 73.846
|  
| 25/24
|-
|-
| 9
| 9
| 83.077
| 83.077
| [[Harry]]
| 21/20, 22/21
|-
|-
| 10
| 10
| 92.308
| 92.308
|  
| 135/128
|-
|-
| 11
| 11
| 101.538
| 101.538
|  
| 35/33
|-
|-
| 12
| 12
| 110.769
| 110.769
|  
| 16/15
|-
|-
| 13
| 13
| 120.000
| 120.000
|  
| 15/14
|-
|-
| 14
| 14
| 129.231
| 129.231
|  
| 14/13
|-
|-
| 15
| 15
| 138.462
| 138.462
|  
| 13/12
|-
|-
| 16
| 16
| 147.692
| 147.692
|  
| 12/11
|-
|-
| 17
| 17
| 156.923
| 156.923
|  
| 35/32
|-
|-
| 18
| 18
| 166.154
| 166.154
|  
| 11/10
|-
|-
| 19
| 19
| 175.385
| 175.385
| [[Schismatic_family #Sesquiquartififths|Sesquart]]
| 72/65
|-
|-
| 20
| 20
| 184.615
| 184.615
|  
| 10/9
|-
|-
| 21
| 21
| 193.846
| 193.846
| [[Hemiwürschmidt]]
| 28/25
|-
|-
| 22
| 22
| 203.077
| 203.077
|  
| 9/8
|-
|-
| 23
| 23
| 212.308
| 212.308
|  
| 44/39
|-
|-
| 24
| 24
| 221.538
| 221.538
|  
| 25/22
|-
|-
| 25
| 25
| 230.769
| 230.769
|  
| 8/7
|-
|-
| 26
| 26
| 240.000
| 240.000
|  
| 55/48
|-
|-
| 27
| 27
| 249.231
| 249.231
| [[Hemischismic]]
| 15/13
|-
|-
| 28
| 28
| 258.462
| 258.462
|  
| 64/55
|-
|-
| 29
| 29
| 267.692
| 267.692
|  
| 7/6
|-
|-
| 30
| 30
| 276.923
| 276.923
|  
| 75/64
|-
|-
| 31
| 31
| 286.154
| 286.154
|  
| 13/11
|-
|-
| 32
| 32
| 295.385
| 295.385
|  
| 32/27
|-
|-
| 33
| 33
| 304.615
| 304.615
|  
| 25/21
|-
|-
| 34
| 34
| 313.846
| 313.846
|  
| 6/5
|-
|-
| 35
| 35
| 323.077
| 323.077
|  
| 65/54
|-
|-
| 36
| 36
| 332.308
| 332.308
|  
| 40/33
|-
|-
| 37
| 37
| 341.538
| 341.538
|  
| 39/32
|-
|-
| 38
| 38
| 350.769
| 350.769
|  
| 11/9, 27/22
|-
|-
| 39
| 39
| 360.000
| 360.000
|  
| 16/13
|-
|-
| 40
| 40
| 369.231
| 369.231
|  
| 26/21
|-
|-
| 41
| 41
| 378.462
| 378.462
|  
| 56/45
|-
|-
| 42
| 42
| 387.692
| 387.692
|  
| 5/4
|-
|-
| 43
| 43
| 396.923
| 396.923
|  
| 63/50
|-
|-
| 44
| 44
| 406.154
| 406.154
|  
| 81/64
|-
|-
| 45
| 45
| 415.385
| 415.385
|  
| 14/11
|-
|-
| 46
| 46
| 424.615
| 424.615
|  
| 32/25
|-
|-
| 47
| 47
| 433.846
| 433.846
|  
| 9/7
|-
|-
| 48
| 48
| 443.077
| 443.077
|  
| 128/99
|-
|-
| 49
| 49
| 452.308
| 452.308
|  
| 13/10
|-
|-
| 50
| 50
| 461.538
| 461.538
|  
| 72/55
|-
|-
| 51
| 51
| 470.769
| 470.769
|  
| 21/16
|-
|-
| 52
| 52
| 480.000
| 480.000
|  
| 33/25
|-
|-
| 53
| 53
| 489.231
| 489.231
|  
| 250/189
|-
|-
| 54
| 54
| 498.462
| 498.462
|  
| 4/3
|-
|-
| 55
| 55
| 507.692
| 507.692
|  
| 75/56
|-
|-
| 56
| 56
| 516.923
| 516.923
|  
| 27/20
|-
|-
| 57
| 57
| 526.154
| 526.154
|  
| 65/48
|-
|-
| 58
| 58
| 535.385
| 535.385
|  
| 15/11
|-
|-
| 59
| 59
| 544.615
| 544.615
|  
| 48/35
|-
|-
| 60
| 60
| 553.846
| 553.846
|  
| 11/8
|-
|-
| 61
| 61
| 563.077
| 563.077
|  
| 18/13
|-
|-
| 62
| 62
| 572.308
| 572.308
|  
| 25/18
|-
|-
| 63
| 63
| 581.538
| 581.538
|  
| 7/5
|-
|-
| 64
| 64
| 590.769
| 590.769
|  
| 45/32
|-
|-
| 65
| 65
| 600.000
| 600.000
|  
| 99/70, 140/99
|-
|-
|…
|…
Line 293: Line 293:


17-limit commas: 221/220, 364/363, 442/441, 595/594, 1275/1274, 4913/4875
17-limit commas: 221/220, 364/363, 442/441, 595/594, 1275/1274, 4913/4875
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
! Periods<br>per octave
! Generator<br>(reduced)
! Cents<br>(reduced)
! Associated<br>ratio
! Temperaments
|-
| 1
| 19\130
| 175.38
| 72/65
| [[Sesquiquartififths]] / [[sesquart]]
|-
| 1
| 21\130
| 193.85
| 28/25
| [[Didacus]] / [[hemiwürschmidt]]
|-
| 1
| 27\130
| 249.23
| 15/13
| [[Hemischis]]
|-
| 2
| 9\130
| 83.08
| [[21/20]]
| [[Harry]]
|}


== Scales ==
== Scales ==