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→Intervals: Removed pions column
Jkarimak (talk | contribs)
191 edits
→Intervals: Removed 7mus column
Line 11: Line 11:
! | Degree
! | Degree
! | Cents Value
! | Cents Value
!7mus
! | Approximate Ratios
! | Approximate Ratios


in the 13-limit
in the 13-limit
|-
|-
| colspan="3" style="text-align:right;" | 0
| style="text-align:right;" | 0
|0.000
| style="text-align:center;" | 1/1
| style="text-align:center;" | 1/1
|-
|-
| style="text-align:right;" | 1
| style="text-align:right;" | 1
| style="text-align:right;" | 15.584
| style="text-align:right;" | 15.584
|19.948 (13.F2B<sub>16</sub>)
| style="text-align:center;" | 81/80, 99/98
| style="text-align:center;" | 81/80, 99/98
|-
|-
| style="text-align:right;" | 2
| style="text-align:right;" | 2
| style="text-align:right;" | 31.169
| style="text-align:right;" | 31.169
|39.896 (27.E56<sub>16</sub>)
| style="text-align:center;" | 64/63, 49/48
| style="text-align:center;" | 64/63, 49/48
|-
|-
| style="text-align:right;" | 3
| style="text-align:right;" | 3
| style="text-align:right;" | 46.753
| style="text-align:right;" | 46.753
|59.844 (3B.D82<sub>16</sub>)
| style="text-align:center;" | 33/32, 36/35
| style="text-align:center;" | 33/32, 36/35
|-
|-
| style="text-align:right;" | 4
| style="text-align:right;" | 4
| style="text-align:right;" | 62.338
| style="text-align:right;" | 62.338
|79.792 (4F.CAD<sub>16</sub>)
| style="text-align:center;" | 28/27, 26/25
| style="text-align:center;" | 28/27, 26/25
|-
|-
| style="text-align:right;" | 5
| style="text-align:right;" | 5
| style="text-align:right;" | 77.922
| style="text-align:right;" | 77.922
|99.74 (63.BD8<sub>16</sub>)
| style="text-align:center;" | 21/20, 25/24
| style="text-align:center;" | 21/20, 25/24
|-
|-
| style="text-align:right;" | 6
| style="text-align:right;" | 6
| style="text-align:right;" | 93.5065
| style="text-align:right;" | 93.5065
|119.688 (77.B03<sub>16</sub>)
| style="text-align:center;" | 135/128
| style="text-align:center;" | 135/128
|-
|-
| style="text-align:right;" | 7
| style="text-align:right;" | 7
| style="text-align:right;" | 109.091
| style="text-align:right;" | 109.091
|139.636 (8B.A2F<sub>16</sub>)
| style="text-align:center;" | 16/15
| style="text-align:center;" | 16/15
|-
|-
| style="text-align:right;" | 8
| style="text-align:right;" | 8
| style="text-align:right;" | 124.675
| style="text-align:right;" | 124.675
|159.584 (9F.95A<sub>16</sub>)
| style="text-align:center;" | 15/14
| style="text-align:center;" | 15/14
|-
|-
| style="text-align:right;" | 9
| style="text-align:right;" | 9
| style="text-align:right;" | 140.26
| style="text-align:right;" | 140.26
|179.5325 (B3.885<sub>16</sub>)
| style="text-align:center;" | 13/12
| style="text-align:center;" | 13/12
|-
|-
| style="text-align:right;" | 10
| style="text-align:right;" | 10
| style="text-align:right;" | 155.844
| style="text-align:right;" | 155.844
|199.4805 (C7.7B<sub>16</sub>)
| style="text-align:center;" | 12/11, 11/10
| style="text-align:center;" | 12/11, 11/10
|-
|-
| style="text-align:right;" | 11
| style="text-align:right;" | 11
| style="text-align:right;" | 171.429
| style="text-align:right;" | 171.429
|219.429 (DB.6DB<sub>16</sub>)
| style="text-align:center;" | 72/65
| style="text-align:center;" | 72/65
|-
|-
| style="text-align:right;" | 12
| style="text-align:right;" | 12
| style="text-align:right;" | 187.013
| style="text-align:right;" | 187.013
|239.377 (EF.607<sub>16</sub>)
| style="text-align:center;" | 10/9
| style="text-align:center;" | 10/9
|-
|-
| style="text-align:right;" | 13
| style="text-align:right;" | 13
| style="text-align:right;" | 202.597
| style="text-align:right;" | 202.597
|259.325 (103.532<sub>16</sub>)
| style="text-align:center;" | 9/8
| style="text-align:center;" | 9/8
|-
|-
| style="text-align:right;" | 14
| style="text-align:right;" | 14
| style="text-align:right;" | 218.182
| style="text-align:right;" | 218.182
|279.273 (117.45D<sub>16</sub>)
| style="text-align:center;" | 256/225
| style="text-align:center;" | 256/225
|-
|-
| style="text-align:right;" | 15
| style="text-align:right;" | 15
| style="text-align:right;" | 233.766
| style="text-align:right;" | 233.766
|299.221 (12B.388<sub>16</sub>)
| style="text-align:center;" | 8/7
| style="text-align:center;" | 8/7
|-
|-
| style="text-align:right;" | 16
| style="text-align:right;" | 16
| style="text-align:right;" | 249.351
| style="text-align:right;" | 249.351
|319.169 (13F.2B4<sub>16</sub>)
| style="text-align:center;" | 15/13
| style="text-align:center;" | 15/13
|-
|-
| style="text-align:right;" | 17
| style="text-align:right;" | 17
| style="text-align:right;" | 264.935
| style="text-align:right;" | 264.935
|339.117 (153.1DF<sub>16</sub>)
| style="text-align:center;" | 7/6
| style="text-align:center;" | 7/6
|-
|-
| style="text-align:right;" | 18
| style="text-align:right;" | 18
| style="text-align:right;" | 280.5195
| style="text-align:right;" | 280.5195
|359.065 (167.10A<sub>16</sub>)
| style="text-align:center;" | 33/28
| style="text-align:center;" | 33/28
|-
|-
| style="text-align:right;" | 19
| style="text-align:right;" | 19
| style="text-align:right;" | 296.104
| style="text-align:right;" | 296.104
|379.013 (17B.035<sub>16</sub>)
| style="text-align:center;" | 32/27, 13/11
| style="text-align:center;" | 32/27, 13/11
|-
|-
| style="text-align:right;" | 20
| style="text-align:right;" | 20
| style="text-align:right;" | 311.688
| style="text-align:right;" | 311.688
|398.961 (18E.F6<sub>16</sub>)
| style="text-align:center;" | 6/5
| style="text-align:center;" | 6/5
|-
|-
| style="text-align:right;" | 21
| style="text-align:right;" | 21
| style="text-align:right;" | 327.273
| style="text-align:right;" | 327.273
|418.909 (1A2.E8B<sub>16</sub>)
| style="text-align:center;" | 98/81
| style="text-align:center;" | 98/81
|-
|-
| style="text-align:right;" | 22
| style="text-align:right;" | 22
| style="text-align:right;" | 342.857
| style="text-align:right;" | 342.857
|438.857 (1B6.DB7<sub>16</sub>)
| style="text-align:center;" | 11/9, 39/32
| style="text-align:center;" | 11/9, 39/32
|-
|-
| style="text-align:right;" | 23
| style="text-align:right;" | 23
| style="text-align:right;" | 358.442
| style="text-align:right;" | 358.442
|458.805 (1CA.CE2<sub>16</sub>)
| style="text-align:center;" | 16/13
| style="text-align:center;" | 16/13
|-
|-
| style="text-align:right;" | 24
| style="text-align:right;" | 24
| style="text-align:right;" | 374.026
| style="text-align:right;" | 374.026
|478.753 (1DE.C0D<sub>16</sub>)
| style="text-align:center;" | 56/45, 26/21
| style="text-align:center;" | 56/45, 26/21
|-
|-
| style="text-align:right;" | 25
| style="text-align:right;" | 25
| style="text-align:right;" | 389.61
| style="text-align:right;" | 389.61
|498.701 (1F2.B388<sub>16</sub>)
| style="text-align:center;" | 5/4
| style="text-align:center;" | 5/4
|-
|-
| style="text-align:right;" | 26
| style="text-align:right;" | 26
| style="text-align:right;" | 405.195
| style="text-align:right;" | 405.195
|518.649 (206.A64<sub>16</sub>)
| style="text-align:center;" | 33/26, 81/64
| style="text-align:center;" | 33/26, 81/64
|-
|-
| style="text-align:right;" | 27
| style="text-align:right;" | 27
| style="text-align:right;" | 420.779
| style="text-align:right;" | 420.779
|538.597 (21A.98F<sub>16</sub>)
| style="text-align:center;" | 14/11, 32/25
| style="text-align:center;" | 14/11, 32/25
|-
|-
| style="text-align:right;" | 28
| style="text-align:right;" | 28
| style="text-align:right;" | 436.364
| style="text-align:right;" | 436.364
|558.5455 (22E.8BA<sub>16</sub>)
| style="text-align:center;" | 9/7
| style="text-align:center;" | 9/7
|-
|-
| style="text-align:right;" | 29
| style="text-align:right;" | 29
| style="text-align:right;" | 451.948
| style="text-align:right;" | 451.948
|578.4935 (242.7E5<sub>16</sub>)
| style="text-align:center;" | 13/10
| style="text-align:center;" | 13/10
|-
|-
| style="text-align:right;" | 30
| style="text-align:right;" | 30
| style="text-align:right;" | 467.5325
| style="text-align:right;" | 467.5325
|598.442 (256.711<sub>16</sub>)
| style="text-align:center;" | 21/16
| style="text-align:center;" | 21/16
|-
|-
| style="text-align:right;" | 31
| style="text-align:right;" | 31
| style="text-align:right;" | 483.117
| style="text-align:right;" | 483.117
|618.39 (26A.63C<sub>16</sub>)
| style="text-align:center;" | 120/91
| style="text-align:center;" | 120/91
|-
|-
| style="text-align:right;" | 32
| style="text-align:right;" | 32
| style="text-align:right;" | 498.701
| style="text-align:right;" | 498.701
|638.338 (27E.567<sub>16</sub>)
| style="text-align:center;" | 4/3
| style="text-align:center;" | 4/3
|-
|-
| style="text-align:right;" | 33
| style="text-align:right;" | 33
| style="text-align:right;" | 514.286
| style="text-align:right;" | 514.286
|658.286 (292.492<sub>16</sub>)
| style="text-align:center;" | 27/20
| style="text-align:center;" | 27/20
|-
|-
| style="text-align:right;" | 34
| style="text-align:right;" | 34
| style="text-align:right;" | 529.87
| style="text-align:right;" | 529.87
|678.234 (2A6.3BD8<sub>16</sub>)
| style="text-align:center;" | 49/36
| style="text-align:center;" | 49/36
|-
|-
| style="text-align:right;" | 35
| style="text-align:right;" | 35
| style="text-align:right;" | 545.4545
| style="text-align:right;" | 545.4545
|698.182 (2BA.2E9<sub>16</sub>)
| style="text-align:center;" | 11/8, 15/11
| style="text-align:center;" | 11/8, 15/11
|-
|-
| style="text-align:right;" | 36
| style="text-align:right;" | 36
| style="text-align:right;" | 561.039
| style="text-align:right;" | 561.039
|718.13 (2CE.214<sub>16</sub>)
| style="text-align:center;" | 18/13
| style="text-align:center;" | 18/13
|-
|-
| style="text-align:right;" | 37
| style="text-align:right;" | 37
| style="text-align:right;" | 576.623
| style="text-align:right;" | 576.623
|738.078 (2E2.13F<sub>16</sub>)
| style="text-align:center;" | 7/5
| style="text-align:center;" | 7/5
|-
|-
| style="text-align:right;" | 38
| style="text-align:right;" | 38
| style="text-align:right;" | 592.208
| style="text-align:right;" | 592.208
|758.026 (2F6.06A<sub>16</sub>)
| style="text-align:center;" | 45/32
| style="text-align:center;" | 45/32
|-
|-
| style="text-align:right;" | 39
| style="text-align:right;" | 39
| style="text-align:right;" | 607.792
| style="text-align:right;" | 607.792
|777.974 (309.F96<sub>16</sub>)
| style="text-align:center;" | 64/45
| style="text-align:center;" | 64/45
|-
|-
| style="text-align:right;" | 40
| style="text-align:right;" | 40
| style="text-align:right;" | 623.377
| style="text-align:right;" | 623.377
|797.922 (31D.EC1<sub>16</sub>)
| style="text-align:center;" | 10/7
| style="text-align:center;" | 10/7
|-
|-
| style="text-align:right;" | 41
| style="text-align:right;" | 41
| style="text-align:right;" | 638.961
| style="text-align:right;" | 638.961
|817.87 (331.DEC<sub>16</sub>)
| style="text-align:center;" | 13/9
| style="text-align:center;" | 13/9
|-
|-
| style="text-align:right;" | 42
| style="text-align:right;" | 42
| style="text-align:right;" | 654.5455
| style="text-align:right;" | 654.5455
|837.818 (345.D17<sub>16</sub>)
| style="text-align:center;" | 16/11, 22/15
| style="text-align:center;" | 16/11, 22/15
|-
|-
| style="text-align:right;" | 43
| style="text-align:right;" | 43
| style="text-align:right;" | 670.13
| style="text-align:right;" | 670.13
|857.766 (359.C428<sub>16</sub>)
| style="text-align:center;" | 72/49
| style="text-align:center;" | 72/49
|-
|-
| style="text-align:right;" | 44
| style="text-align:right;" | 44
| style="text-align:right;" | 685.714
| style="text-align:right;" | 685.714
|877.714 (36D.B6E<sub>16</sub>)
| style="text-align:center;" | 40/27
| style="text-align:center;" | 40/27
|-
|-
| style="text-align:right;" | 45
| style="text-align:right;" | 45
| style="text-align:right;" | 701.299
| style="text-align:right;" | 701.299
|897.662 (381.A99<sub>16</sub>)
| style="text-align:center;" | 3/2
| style="text-align:center;" | 3/2
|-
|-
| style="text-align:right;" | 46
| style="text-align:right;" | 46
| style="text-align:right;" | 716.883
| style="text-align:right;" | 716.883
|917.61 (395.9C4<sub>16</sub>)
| style="text-align:center;" | 91/60
| style="text-align:center;" | 91/60
|-
|-
| style="text-align:right;" | 47
| style="text-align:right;" | 47
| style="text-align:right;" | 732.4675
| style="text-align:right;" | 732.4675
|937.558 (3A9.8EF<sub>16</sub>)
| style="text-align:center;" | 32/21
| style="text-align:center;" | 32/21
|-
|-
| style="text-align:right;" | 48
| style="text-align:right;" | 48
| style="text-align:right;" | 748.052
| style="text-align:right;" | 748.052
|957.5065 (3BD.81B<sub>16</sub>)
| style="text-align:center;" | 20/13
| style="text-align:center;" | 20/13
|-
|-
| style="text-align:right;" | 49
| style="text-align:right;" | 49
| style="text-align:right;" | 763.636
| style="text-align:right;" | 763.636
|977.4545 (3D1.746<sub>16</sub>)
| style="text-align:center;" | 14/9
| style="text-align:center;" | 14/9
|-
|-
| style="text-align:right;" | 50
| style="text-align:right;" | 50
| style="text-align:right;" | 779.221
| style="text-align:right;" | 779.221
|997.403 (3E5.671<sub>16</sub>)
| style="text-align:center;" | 11/7, 25/16
| style="text-align:center;" | 11/7, 25/16
|-
|-
| style="text-align:right;" | 51
| style="text-align:right;" | 51
| style="text-align:right;" | 794.805
| style="text-align:right;" | 794.805
|1017.351 (3F9.59C<sub>16</sub>)
| style="text-align:center;" | 52/33, 128/81
| style="text-align:center;" | 52/33, 128/81
|-
|-
| style="text-align:right;" | 52
| style="text-align:right;" | 52
| style="text-align:right;" | 810.39
| style="text-align:right;" | 810.39
|1037.299 (40D.4C78<sub>16</sub>)
| style="text-align:center;" | 8/5
| style="text-align:center;" | 8/5
|-
|-
| style="text-align:right;" | 53
| style="text-align:right;" | 53
| style="text-align:right;" | 825.974
| style="text-align:right;" | 825.974
|1057.247 (421.3F3<sub>16</sub>)
| style="text-align:center;" | 45/28, 21/13
| style="text-align:center;" | 45/28, 21/13
|-
|-
| style="text-align:right;" | 54
| style="text-align:right;" | 54
| style="text-align:right;" | 841.558
| style="text-align:right;" | 841.558
|1077.195 (435.31E<sub>16</sub>)
| style="text-align:center;" | 13/8
| style="text-align:center;" | 13/8
|-
|-
| style="text-align:right;" | 55
| style="text-align:right;" | 55
| style="text-align:right;" | 857.143
| style="text-align:right;" | 857.143
|1097.143 (449.249<sub>16</sub>)
| style="text-align:center;" | 18/11, 64/39
| style="text-align:center;" | 18/11, 64/39
|-
|-
| style="text-align:right;" | 56
| style="text-align:right;" | 56
| style="text-align:right;" | 872.727
| style="text-align:right;" | 872.727
|1117.091 (45D.174<sub>16</sub>)
| style="text-align:center;" | 81/49
| style="text-align:center;" | 81/49
|-
|-
| style="text-align:right;" | 57
| style="text-align:right;" | 57
| style="text-align:right;" | 888.312
| style="text-align:right;" | 888.312
|1137.039 (471.0A<sub>16</sub>)
| style="text-align:center;" | 5/3
| style="text-align:center;" | 5/3
|-
|-
| style="text-align:right;" | 58
| style="text-align:right;" | 58
| style="text-align:right;" | 903.896
| style="text-align:right;" | 903.896
|1156.987 (484.FCB<sub>16</sub>)
| style="text-align:center;" | 27/16, 22/13
| style="text-align:center;" | 27/16, 22/13
|-
|-
| style="text-align:right;" | 59
| style="text-align:right;" | 59
| style="text-align:right;" | 919.4805
| style="text-align:right;" | 919.4805
|1176.935 (498.EF6<sub>16</sub>)
| style="text-align:center;" | 56/33
| style="text-align:center;" | 56/33
|-
|-
| style="text-align:right;" | 60
| style="text-align:right;" | 60
| style="text-align:right;" | 935.065
| style="text-align:right;" | 935.065
|1196.883 (4AC.E21<sub>16</sub>)
| style="text-align:center;" | 12/7
| style="text-align:center;" | 12/7
|-
|-
| style="text-align:right;" | 61
| style="text-align:right;" | 61
| style="text-align:right;" | 950.649
| style="text-align:right;" | 950.649
|1216.831 (4C0.D4C<sub>16</sub>)
| style="text-align:center;" | 26/15
| style="text-align:center;" | 26/15
|-
|-
| style="text-align:right;" | 62
| style="text-align:right;" | 62
| style="text-align:right;" | 966.234
| style="text-align:right;" | 966.234
|1236.77 (4D4.C78<sub>16</sub>)
| style="text-align:center;" | 7/4
| style="text-align:center;" | 7/4
|-
|-
| style="text-align:right;" | 63
| style="text-align:right;" | 63
| style="text-align:right;" | 981.818
| style="text-align:right;" | 981.818
|1256.727 (4E8.BA3<sub>16</sub>)
| style="text-align:center;" | 225/128
| style="text-align:center;" | 225/128
|-
|-
| style="text-align:right;" | 64
| style="text-align:right;" | 64
| style="text-align:right;" | 997.403
| style="text-align:right;" | 997.403
|1276.675 (4FC.ACE<sub>16</sub>)
| style="text-align:center;" | 16/9
| style="text-align:center;" | 16/9
|-
|-
| style="text-align:right;" | 65
| style="text-align:right;" | 65
| style="text-align:right;" | 1012.987
| style="text-align:right;" | 1012.987
|1296.623 (510.9F9<sub>16</sub>)
| style="text-align:center;" | 9/5
| style="text-align:center;" | 9/5
|-
|-
| style="text-align:right;" | 66
| style="text-align:right;" | 66
| style="text-align:right;" | 1028.571
| style="text-align:right;" | 1028.571
|1316.571 (524.924<sub>16</sub>)
| style="text-align:center;" | 65/36
| style="text-align:center;" | 65/36
|-
|-
| style="text-align:right;" | 67
| style="text-align:right;" | 67
| style="text-align:right;" | 1044.156
| style="text-align:right;" | 1044.156
|1336.5195 (538.85<sub>16</sub>)
| style="text-align:center;" | 11/6, 20/11
| style="text-align:center;" | 11/6, 20/11
|-
|-
| style="text-align:right;" | 68
| style="text-align:right;" | 68
| style="text-align:right;" | 1059.74
| style="text-align:right;" | 1059.74
|1356.4675 (54C.77B<sub>16</sub>)
| style="text-align:center;" | 24/13
| style="text-align:center;" | 24/13
|-
|-
| style="text-align:right;" | 69
| style="text-align:right;" | 69
| style="text-align:right;" | 1075.325
| style="text-align:right;" | 1075.325
|1376.416 (560.6A6<sub>16</sub>)
| style="text-align:center;" | 28/15
| style="text-align:center;" | 28/15
|-
|-
| style="text-align:right;" | 70
| style="text-align:right;" | 70
| style="text-align:right;" | 1090.909
| style="text-align:right;" | 1090.909
|1396.364 (574.5D1<sub>16</sub>)
| style="text-align:center;" | 15/8
| style="text-align:center;" | 15/8
|-
|-
| style="text-align:right;" | 71
| style="text-align:right;" | 71
| style="text-align:right;" | 1106.4935
| style="text-align:right;" | 1106.4935
|1416.312 (588.4FD<sub>16</sub>)
| style="text-align:center;" | 256/135
| style="text-align:center;" | 256/135
|-
|-
| style="text-align:right;" | 72
| style="text-align:right;" | 72
| style="text-align:right;" | 1122.078
| style="text-align:right;" | 1122.078
|1436.26 (59C.426<sub>16</sub>)
| style="text-align:center;" | 40/21, 48/25
| style="text-align:center;" | 40/21, 48/25
|-
|-
| style="text-align:right;" | 73
| style="text-align:right;" | 73
| style="text-align:right;" | 1137.662
| style="text-align:right;" | 1137.662
|1456.208 (5B0.353<sub>16</sub>)
| style="text-align:center;" | 27/14, 25/13
| style="text-align:center;" | 27/14, 25/13
|-
|-
| style="text-align:right;" | 74
| style="text-align:right;" | 74
| style="text-align:right;" | 1153.247
| style="text-align:right;" | 1153.247
|1476.156 (5C4.27E<sub>16</sub>)
| style="text-align:center;" | 64/33, 35/18
| style="text-align:center;" | 64/33, 35/18
|-
|-
| style="text-align:right;" | 75
| style="text-align:right;" | 75
| style="text-align:right;" | 1168.831
| style="text-align:right;" | 1168.831
|1496.104 (5D8.1AA<sub>16</sub>)
| style="text-align:center;" | 63/32, 96/49
| style="text-align:center;" | 63/32, 96/49
|-
|-
| style="text-align:right;" | 76
| style="text-align:right;" | 76
| style="text-align:right;" | 1184.416
| style="text-align:right;" | 1184.416
|1516.052 (5EC.0D5<sub>16</sub>)
| style="text-align:center;" | 160/81, 196/99
| style="text-align:center;" | 160/81, 196/99
|-
|-
| style="text-align:right;" | 77
| style="text-align:right;" | 77
| style="text-align:right;" | 1200
| style="text-align:right;" | 1200
|1536 (600<sub>16</sub>)
| style="text-align:center;" | 2/1
| style="text-align:center;" | 2/1
|}
|}

Revision as of 16:06, 12 December 2019

77 tone Equal Temperament

77-tET or 77-EDO divides the octave into 77 steps of size 15.5844 cents each. With fifths less than a cent flat, major thirds a bit over three cents sharp and 7/4s less flat than that, it represents an excellent tuning choice for both valentine, the 31&46 temperament, and starling, the 126/125 planar temperament, giving the optimal patent val for 11-limit valentine and its 13-limit extensions dwynwen and valentino, as well as 11-limit starling and oxpecker temperaments. It also gives the optimal patent val for various members of the unicorn family, with a generator of 4\77 instead of the 5\77 which gives valentine. These are 7-limit alicorn and 11- and 13-limit camahueto.

77et tempers out 32805/32768 in the 5-limit, 126/125, 1029/1024 and 6144/6125 in the 7-limit, 121/120, 176/175, 385/384 and 441/440 in the 11-limit, and 196/195, 351/350, 352/351, 676/675 and 729/728 in the 13-limit.

Intervals

Degree Cents Value Approximate Ratios

in the 13-limit

0 0.000 1/1
1 15.584 81/80, 99/98
2 31.169 64/63, 49/48
3 46.753 33/32, 36/35
4 62.338 28/27, 26/25
5 77.922 21/20, 25/24
6 93.5065 135/128
7 109.091 16/15
8 124.675 15/14
9 140.26 13/12
10 155.844 12/11, 11/10
11 171.429 72/65
12 187.013 10/9
13 202.597 9/8
14 218.182 256/225
15 233.766 8/7
16 249.351 15/13
17 264.935 7/6
18 280.5195 33/28
19 296.104 32/27, 13/11
20 311.688 6/5
21 327.273 98/81
22 342.857 11/9, 39/32
23 358.442 16/13
24 374.026 56/45, 26/21
25 389.61 5/4
26 405.195 33/26, 81/64
27 420.779 14/11, 32/25
28 436.364 9/7
29 451.948 13/10
30 467.5325 21/16
31 483.117 120/91
32 498.701 4/3
33 514.286 27/20
34 529.87 49/36
35 545.4545 11/8, 15/11
36 561.039 18/13
37 576.623 7/5
38 592.208 45/32
39 607.792 64/45
40 623.377 10/7
41 638.961 13/9
42 654.5455 16/11, 22/15
43 670.13 72/49
44 685.714 40/27
45 701.299 3/2
46 716.883 91/60
47 732.4675 32/21
48 748.052 20/13
49 763.636 14/9
50 779.221 11/7, 25/16
51 794.805 52/33, 128/81
52 810.39 8/5
53 825.974 45/28, 21/13
54 841.558 13/8
55 857.143 18/11, 64/39
56 872.727 81/49
57 888.312 5/3
58 903.896 27/16, 22/13
59 919.4805 56/33
60 935.065 12/7
61 950.649 26/15
62 966.234 7/4
63 981.818 225/128
64 997.403 16/9
65 1012.987 9/5
66 1028.571 65/36
67 1044.156 11/6, 20/11
68 1059.74 24/13
69 1075.325 28/15
70 1090.909 15/8
71 1106.4935 256/135
72 1122.078 40/21, 48/25
73 1137.662 27/14, 25/13
74 1153.247 64/33, 35/18
75 1168.831 63/32, 96/49
76 1184.416 160/81, 196/99
77 1200 2/1

Linear temperaments

Periods

per Octave

Generator Temperaments
1 1\77
1 2\77
1 3\77
1 4\77 Unicorn/alicorn/camahueto/qilin
1 5\77 Valentine
1 6\77
1 8\77
1 9\77 Tsaharuk
1 10\77
1 12\77
1 13\77
1 15\77 Guiron
1 16\77 Hemischis
1 17\77
1 18\77
1 19\77
1 20\77
1 23\77 Restles (77&87)
1 24\77
1 25\77
1 26\77
1 27\77
1 29\77
1 30\77
1 31\77 Hemiseven
1 32\77 Hendecatonic, grackle
1 34\77 Mabila (34&43)
1 36\77
1 37\77
1 38\77
7 1\77 "Absurdity" (7&84)
7 2\77
7 3\77
7 4\77
7 5\77
11 1\77
11 2\77
11 3\77

Music

Star 1-GrimaldiA+Bmod by Joel Grant Taylor

77et Star by Chris Vaisvil

A Seed Planted A Seed Planted by Jake Freivald, in an organ version of Claudi Meneghin.

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