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→62-EDO Intervals: Removed pions column
Line 17: Line 17:
|-
|-
! rowspan="2" | [[Degree|Degree]]
! rowspan="2" | [[Degree|Degree]]
! colspan="3" | Size
! colspan="2" | Size
! rowspan="2" | Armodue notation
! rowspan="2" | Armodue notation
! rowspan="2" | Approximate intervals
! rowspan="2" | Approximate intervals
|-
|-
![[cent|Cents]]
![[cent|Cents]]
!pions
!7mus
!7mus
|-
|-
| colspan="4" style="text-align:center;" | 0
| colspan="3" style="text-align:center;" | 0
| style="text-align:center;" | 1
| style="text-align:center;" | 1
| |  
| |  
Line 31: Line 30:
| style="text-align:center;" | 1
| style="text-align:center;" | 1
| style="text-align:right;" | 19.3548
| style="text-align:right;" | 19.3548
|20.5161
|24.7742 (18.C632<sub>16</sub>)
|24.7742 (18.C632<sub>16</sub>)
| style="text-align:center;" | 1Ɨ
| style="text-align:center;" | 1Ɨ
Line 38: Line 36:
| style="text-align:center;" | 2
| style="text-align:center;" | 2
| style="text-align:right;" | 38.7097
| style="text-align:right;" | 38.7097
|41.0323
|49.5484 (31.8C63<sub>16</sub>)
|49.5484 (31.8C63<sub>16</sub>)
| style="text-align:center;" | 1‡ (9#)
| style="text-align:center;" | 1‡ (9#)
Line 45: Line 42:
| style="text-align:center;" | 3
| style="text-align:center;" | 3
| style="text-align:right;" | 58.0645
| style="text-align:right;" | 58.0645
|61.5484
|74.3226 (4A.5295<sub>16</sub>)
|74.3226 (4A.5295<sub>16</sub>)
| style="text-align:center;" | 2b
| style="text-align:center;" | 2b
Line 52: Line 48:
| style="text-align:center;" | 4
| style="text-align:center;" | 4
| style="text-align:right;" | 77.41935
| style="text-align:right;" | 77.41935
|82.0645
|99.0968 (63.18C6<sub>16</sub>)
|99.0968 (63.18C6<sub>16</sub>)
| style="text-align:center;" | 1◊2
| style="text-align:center;" | 1◊2
Line 59: Line 54:
| style="text-align:center;" | 5
| style="text-align:center;" | 5
| style="text-align:right;" | 96.7742
| style="text-align:right;" | 96.7742
|102.58065
|123.871 (7B.DEF8<sub>16</sub>)
|123.871 (7B.DEF8<sub>16</sub>)
| style="text-align:center;" | 1#
| style="text-align:center;" | 1#
Line 66: Line 60:
| style="text-align:center;" | 6
| style="text-align:center;" | 6
| style="text-align:right;" | 116.129
| style="text-align:right;" | 116.129
|123.0968
|148.6452 (94.A529<sub>16</sub>)
|148.6452 (94.A529<sub>16</sub>)
| style="text-align:center;" | 2v
| style="text-align:center;" | 2v
Line 73: Line 66:
| style="text-align:center;" | 7
| style="text-align:center;" | 7
| style="text-align:right;" | 135.4839
| style="text-align:right;" | 135.4839
|143.6129
|173.41935 (AD.7B5B<sub>16</sub>)
|173.41935 (AD.7B5B<sub>16</sub>)
| style="text-align:center;" | 2⌐
| style="text-align:center;" | 2⌐
Line 80: Line 72:
| style="text-align:center;" | 8
| style="text-align:center;" | 8
| style="text-align:right;" | 154.8387
| style="text-align:right;" | 154.8387
|164.129
|198.19355 (C6.318C<sub>16</sub>)
|198.19355 (C6.318C<sub>16</sub>)
| style="text-align:center;" | 2
| style="text-align:center;" | 2
Line 87: Line 78:
| style="text-align:center;" | 9
| style="text-align:center;" | 9
| style="text-align:right;" | 174.19355
| style="text-align:right;" | 174.19355
|184.6452
|222.9677 (DE.F7BE<sub>16</sub>)
|222.9677 (DE.F7BE<sub>16</sub>)
| style="text-align:center;" | 2Ɨ
| style="text-align:center;" | 2Ɨ
Line 94: Line 84:
| style="text-align:center;" | 10
| style="text-align:center;" | 10
| style="text-align:right;" | 193.5484
| style="text-align:right;" | 193.5484
|205.1613
|247.7419 (F7.BDEF8<sub>16</sub>)
|247.7419 (F7.BDEF8<sub>16</sub>)
| style="text-align:center;" | 2‡
| style="text-align:center;" | 2‡
Line 101: Line 90:
| style="text-align:center;" | 11
| style="text-align:center;" | 11
| style="text-align:right;" | 212.9032
| style="text-align:right;" | 212.9032
|225.6774
|272.5161 (110.8421<sub>16</sub>)
|272.5161 (110.8421<sub>16</sub>)
| style="text-align:center;" | 3b
| style="text-align:center;" | 3b
Line 108: Line 96:
| style="text-align:center;" | 12
| style="text-align:center;" | 12
| style="text-align:right;" | 232.2581
| style="text-align:right;" | 232.2581
|246.19355
|297.2903 (129.4A53<sub>16</sub>)
|297.2903 (129.4A53<sub>16</sub>)
| style="text-align:center;" | 2◊3
| style="text-align:center;" | 2◊3
Line 115: Line 102:
| style="text-align:center;" | 13
| style="text-align:center;" | 13
| style="text-align:right;" | 251.6129
| style="text-align:right;" | 251.6129
|266.7097
|322.0645 (142.1084<sub>16</sub>)
|322.0645 (142.1084<sub>16</sub>)
| style="text-align:center;" | 2#
| style="text-align:center;" | 2#
Line 122: Line 108:
| style="text-align:center;" | 14
| style="text-align:center;" | 14
| style="text-align:right;" | 270.9677
| style="text-align:right;" | 270.9677
|287.2258
|346.8387 (15A.D6B6<sub>16</sub>)
|346.8387 (15A.D6B6<sub>16</sub>)
| style="text-align:center;" | 3v
| style="text-align:center;" | 3v
Line 129: Line 114:
| style="text-align:center;" | 15
| style="text-align:center;" | 15
| style="text-align:right;" | 290.3226
| style="text-align:right;" | 290.3226
|307.7419
|371.6129 (173.9CE7<sub>16</sub>)
|371.6129 (173.9CE7<sub>16</sub>)
| style="text-align:center;" | 3⌐
| style="text-align:center;" | 3⌐
Line 136: Line 120:
| style="text-align:center;" | 16
| style="text-align:center;" | 16
| style="text-align:right;" | 309.6774
| style="text-align:right;" | 309.6774
|328.2581
|396.3871 (18C.6319<sub>16</sub>)
|396.3871 (18C.6319<sub>16</sub>)
| style="text-align:center;" | 3
| style="text-align:center;" | 3
Line 143: Line 126:
| style="text-align:center;" | 17
| style="text-align:center;" | 17
| style="text-align:right;" | 329.0323
| style="text-align:right;" | 329.0323
|348.7742
|421.1613 (1A5.294A<sub>16</sub>)
|421.1613 (1A5.294A<sub>16</sub>)
| style="text-align:center;" | 3Ɨ
| style="text-align:center;" | 3Ɨ
Line 150: Line 132:
| style="text-align:center;" | 18
| style="text-align:center;" | 18
| style="text-align:right;" | 348.3871
| style="text-align:right;" | 348.3871
|369.2903
|445.9355 (1BD.EF7C<sub>16</sub>)
|445.9355 (1BD.EF7C<sub>16</sub>)
| style="text-align:center;" | 3‡
| style="text-align:center;" | 3‡
Line 157: Line 138:
| style="text-align:center;" | 19
| style="text-align:center;" | 19
| style="text-align:right;" | 367.7419
| style="text-align:right;" | 367.7419
|389.80645
|470.7097 (1D6.B5AD<sub>16</sub>)
|470.7097 (1D6.B5AD<sub>16</sub>)
| style="text-align:center;" | 4b
| style="text-align:center;" | 4b
Line 164: Line 144:
| style="text-align:center;" | 20
| style="text-align:center;" | 20
| style="text-align:right;" | 387.0968
| style="text-align:right;" | 387.0968
|410.3225
|495.4838 (1EF.7BDF<sub>16</sub>)
|495.4838 (1EF.7BDF<sub>16</sub>)
| style="text-align:center;" | 3◊4
| style="text-align:center;" | 3◊4
Line 171: Line 150:
| style="text-align:center;" | 21
| style="text-align:center;" | 21
| style="text-align:right;" | 406.4516
| style="text-align:right;" | 406.4516
|430.8387
|520.2581 (208.42108<sub>16</sub>)
|520.2581 (208.42108<sub>16</sub>)
| style="text-align:center;" | 3#
| style="text-align:center;" | 3#
Line 178: Line 156:
| style="text-align:center;" | 22
| style="text-align:center;" | 22
| style="text-align:right;" | 425.80645
| style="text-align:right;" | 425.80645
|451.3548
|545.0323 (221.0842<sub>16</sub>)
|545.0323 (221.0842<sub>16</sub>)
| style="text-align:center;" | 4v (5b)
| style="text-align:center;" | 4v (5b)
Line 185: Line 162:
| style="text-align:center;" | 23
| style="text-align:center;" | 23
| style="text-align:right;" | 445.1613
| style="text-align:right;" | 445.1613
|471.871
|569.80645 (239.CE74<sub>16</sub>)
|569.80645 (239.CE74<sub>16</sub>)
| style="text-align:center;" | 4⌐
| style="text-align:center;" | 4⌐
Line 192: Line 168:
| style="text-align:center;" | 24
| style="text-align:center;" | 24
| style="text-align:right;" | 464.5161
| style="text-align:right;" | 464.5161
|492.3871
|594.58065 (252.94A5<sub>16</sub>)
|594.58065 (252.94A5<sub>16</sub>)
| style="text-align:center;" | 4
| style="text-align:center;" | 4
Line 199: Line 174:
| style="text-align:center;" | 25
| style="text-align:center;" | 25
| style="text-align:right;" | 483.871
| style="text-align:right;" | 483.871
|512.9032
|619.3548 (26B.5AD7<sub>16</sub>)
|619.3548 (26B.5AD7<sub>16</sub>)
| style="text-align:center;" | 4Ɨ (5v)
| style="text-align:center;" | 4Ɨ (5v)
Line 206: Line 180:
| style="text-align:center;" | 26
| style="text-align:center;" | 26
| style="text-align:right;" | 503.2258
| style="text-align:right;" | 503.2258
|533.41935
|644.129 (284.2108<sub>16</sub>)
|644.129 (284.2108<sub>16</sub>)
| style="text-align:center;" | 5⌐ (4‡)
| style="text-align:center;" | 5⌐ (4‡)
Line 213: Line 186:
| style="text-align:center;" | 27
| style="text-align:center;" | 27
| style="text-align:right;" | 522.58065
| style="text-align:right;" | 522.58065
|553.9355
|668.9032 (29C.E73A<sub>16</sub>)
|668.9032 (29C.E73A<sub>16</sub>)
| style="text-align:center;" | 5
| style="text-align:center;" | 5
Line 220: Line 192:
| style="text-align:center;" | 28
| style="text-align:center;" | 28
| style="text-align:right;" | 541.9355
| style="text-align:right;" | 541.9355
|574.4516
|693.6774 (2B5.AD6B<sub>16</sub>)
|693.6774 (2B5.AD6B<sub>16</sub>)
| style="text-align:center;" | 5Ɨ
| style="text-align:center;" | 5Ɨ
Line 227: Line 198:
| style="text-align:center;" | 29
| style="text-align:center;" | 29
| style="text-align:right;" | 561.2903
| style="text-align:right;" | 561.2903
|594.9677
|718.4516 (2C4.739D<sub>16</sub>)
|718.4516 (2C4.739D<sub>16</sub>)
| style="text-align:center;" | 5‡ (4#)
| style="text-align:center;" | 5‡ (4#)
Line 234: Line 204:
| style="text-align:center;" | 30
| style="text-align:center;" | 30
| style="text-align:right;" | 580.6452
| style="text-align:right;" | 580.6452
|615.4839
|743.2258 (2E7.39CD<sub>16</sub>)
|743.2258 (2E7.39CD<sub>16</sub>)
| style="text-align:center;" | 6b
| style="text-align:center;" | 6b
Line 241: Line 210:
| style="text-align:center;" | 31
| style="text-align:center;" | 31
| style="text-align:right;" | 600
| style="text-align:right;" | 600
|636
|768 (300<sub>16</sub>)
|768 (300<sub>16</sub>)
| style="text-align:center;" | 5◊6
| style="text-align:center;" | 5◊6
Line 248: Line 216:
| style="text-align:center;" | 32
| style="text-align:center;" | 32
| style="text-align:right;" | 619.3548
| style="text-align:right;" | 619.3548
|656.5161
|792.7742 (318.C632<sub>16</sub>)
|792.7742 (318.C632<sub>16</sub>)
| style="text-align:center;" | 5#
| style="text-align:center;" | 5#
Line 255: Line 222:
| style="text-align:center;" | 33
| style="text-align:center;" | 33
| style="text-align:right;" | 638.7097
| style="text-align:right;" | 638.7097
|677.0323
|813.5484 (331.8C63<sub>16</sub>)
|813.5484 (331.8C63<sub>16</sub>)
| style="text-align:center;" | 6v
| style="text-align:center;" | 6v
Line 262: Line 228:
| style="text-align:center;" | 34
| style="text-align:center;" | 34
| style="text-align:right;" | 658.0645
| style="text-align:right;" | 658.0645
|697.5484
|842.3226 (34A.5295<sub>16</sub>)
|842.3226 (34A.5295<sub>16</sub>)
| style="text-align:center;" | 6⌐
| style="text-align:center;" | 6⌐
Line 269: Line 234:
| style="text-align:center;" | 35
| style="text-align:center;" | 35
| style="text-align:right;" | 677.41935
| style="text-align:right;" | 677.41935
|718.0645
|867.0968 (363.18C6<sub>16</sub>)
|867.0968 (363.18C6<sub>16</sub>)
| style="text-align:center;" | 6
| style="text-align:center;" | 6
Line 276: Line 240:
| style="text-align:center;" | 36
| style="text-align:center;" | 36
| style="text-align:right;" | 696.7742
| style="text-align:right;" | 696.7742
|738.58065
|891.871 (37B.DEF8<sub>16</sub>)
|891.871 (37B.DEF8<sub>16</sub>)
| style="text-align:center;" | 6Ɨ
| style="text-align:center;" | 6Ɨ
Line 283: Line 246:
| style="text-align:center;" | 37
| style="text-align:center;" | 37
| style="text-align:right;" | 716.129
| style="text-align:right;" | 716.129
|759.0968
|916.6452 (394.A529<sub>16</sub>)
|916.6452 (394.A529<sub>16</sub>)
| style="text-align:center;" | 6‡
| style="text-align:center;" | 6‡
Line 290: Line 252:
| style="text-align:center;" | 38
| style="text-align:center;" | 38
| style="text-align:right;" | 735.4839
| style="text-align:right;" | 735.4839
|779.6129
|941.41935 (3AD.7B5B<sub>16</sub>)
|941.41935 (3AD.7B5B<sub>16</sub>)
| style="text-align:center;" | 7b
| style="text-align:center;" | 7b
Line 297: Line 258:
| style="text-align:center;" | 39
| style="text-align:center;" | 39
| style="text-align:right;" | 754.8387
| style="text-align:right;" | 754.8387
|800.129
|966.19355 (3C6.318C<sub>16</sub>)
|966.19355 (3C6.318C<sub>16</sub>)
| style="text-align:center;" | 6◊7
| style="text-align:center;" | 6◊7
Line 304: Line 264:
| style="text-align:center;" | 40
| style="text-align:center;" | 40
| style="text-align:right;" | 774.19355
| style="text-align:right;" | 774.19355
|820.6452
|990.9677 (3DE.F7BE<sub>16</sub>)
|990.9677 (3DE.F7BE<sub>16</sub>)
| style="text-align:center;" | 6#
| style="text-align:center;" | 6#
Line 311: Line 270:
| style="text-align:center;" | 41
| style="text-align:center;" | 41
| style="text-align:right;" | 793.5484
| style="text-align:right;" | 793.5484
|841.1613
|1015.7419 (3F7.BDEF8<sub>16</sub>)
|1015.7419 (3F7.BDEF8<sub>16</sub>)
| style="text-align:center;" | 7v
| style="text-align:center;" | 7v
Line 318: Line 276:
| style="text-align:center;" | 42
| style="text-align:center;" | 42
| style="text-align:right;" | 812.9032
| style="text-align:right;" | 812.9032
|861.6774
|1040.5161 (410.8421<sub>16</sub>)
|1040.5161 (410.8421<sub>16</sub>)
| style="text-align:center;" | 7⌐
| style="text-align:center;" | 7⌐
Line 325: Line 282:
| style="text-align:center;" | 43
| style="text-align:center;" | 43
| style="text-align:right;" | 832.2581
| style="text-align:right;" | 832.2581
|882.19355
|1065.2903 (429.4A53<sub>16</sub>)
|1065.2903 (429.4A53<sub>16</sub>)
| style="text-align:center;" | 7
| style="text-align:center;" | 7
Line 332: Line 288:
| style="text-align:center;" | 44
| style="text-align:center;" | 44
| style="text-align:right;" | 851.6129
| style="text-align:right;" | 851.6129
|902.7097
|1090.0645 (442.1084<sub>16</sub>)
|1090.0645 (442.1084<sub>16</sub>)
| style="text-align:center;" | 7Ɨ
| style="text-align:center;" | 7Ɨ
Line 339: Line 294:
| style="text-align:center;" | 45
| style="text-align:center;" | 45
| style="text-align:right;" | 870.9677
| style="text-align:right;" | 870.9677
|923.2268
|1114.8387 (45A.D6B6<sub>16</sub>)
|1114.8387 (45A.D6B6<sub>16</sub>)
| style="text-align:center;" | 7‡
| style="text-align:center;" | 7‡
Line 346: Line 300:
| style="text-align:center;" | 46
| style="text-align:center;" | 46
| style="text-align:right;" | 890.3226
| style="text-align:right;" | 890.3226
|943.7419
|1139.6129 (473.9CE7<sub>16</sub>)
|1139.6129 (473.9CE7<sub>16</sub>)
| style="text-align:center;" | 8b
| style="text-align:center;" | 8b
Line 353: Line 306:
| style="text-align:center;" | 47
| style="text-align:center;" | 47
| style="text-align:right;" | 909.6774
| style="text-align:right;" | 909.6774
|964.2581
|1164.3871 (48C.6319<sub>16</sub>)
|1164.3871 (48C.6319<sub>16</sub>)
| style="text-align:center;" | 7◊8
| style="text-align:center;" | 7◊8
Line 360: Line 312:
| style="text-align:center;" | 48
| style="text-align:center;" | 48
| style="text-align:right;" | 929.0323
| style="text-align:right;" | 929.0323
|984.7742
|1189.1613 (4A5.294A<sub>16</sub>)
|1189.1613 (4A5.294A<sub>16</sub>)
| style="text-align:center;" | 7#
| style="text-align:center;" | 7#
Line 367: Line 318:
| style="text-align:center;" | 49
| style="text-align:center;" | 49
| style="text-align:right;" | 948.3871
| style="text-align:right;" | 948.3871
|1005.2903
|1213.9355 (4BD.EF7C<sub>16</sub>)
|1213.9355 (4BD.EF7C<sub>16</sub>)
| style="text-align:center;" | 8v
| style="text-align:center;" | 8v
Line 374: Line 324:
| style="text-align:center;" | 50
| style="text-align:center;" | 50
| style="text-align:right;" | 967.7419
| style="text-align:right;" | 967.7419
|1025.80645
|1238.7097 (4D6.B5AD<sub>16</sub>)
|1238.7097 (4D6.B5AD<sub>16</sub>)
| style="text-align:center;" | 8⌐
| style="text-align:center;" | 8⌐
Line 381: Line 330:
| style="text-align:center;" | 51
| style="text-align:center;" | 51
| style="text-align:right;" | 987.0968
| style="text-align:right;" | 987.0968
|1046.3225
|1263.4838 (4EF.7BDF<sub>16</sub>)
|1263.4838 (4EF.7BDF<sub>16</sub>)
| style="text-align:center;" | 8
| style="text-align:center;" | 8
Line 388: Line 336:
| style="text-align:center;" | 52
| style="text-align:center;" | 52
| style="text-align:right;" | 1006.4516
| style="text-align:right;" | 1006.4516
|1066.8387
|1288.2581 (508.42108<sub>16</sub>)
|1288.2581 (508.42108<sub>16</sub>)
| style="text-align:center;" | 8Ɨ
| style="text-align:center;" | 8Ɨ
Line 395: Line 342:
| style="text-align:center;" | 53
| style="text-align:center;" | 53
| style="text-align:right;" | 1025.80645
| style="text-align:right;" | 1025.80645
|1087.3548
|1313.0323 (521.0842<sub>16</sub>)
|1313.0323 (521.0842<sub>16</sub>)
| style="text-align:center;" | 8‡
| style="text-align:center;" | 8‡
Line 402: Line 348:
| style="text-align:center;" | 54
| style="text-align:center;" | 54
| style="text-align:right;" | 1045.1613
| style="text-align:right;" | 1045.1613
|1107.871
|1337.80645 (539.CE74<sub>16</sub>)
|1337.80645 (539.CE74<sub>16</sub>)
| style="text-align:center;" | 9b
| style="text-align:center;" | 9b
Line 409: Line 354:
| style="text-align:center;" | 55
| style="text-align:center;" | 55
| style="text-align:right;" | 1064.5161
| style="text-align:right;" | 1064.5161
|1128.3871
|1362.58065 (552.94A5<sub>16</sub>)
|1362.58065 (552.94A5<sub>16</sub>)
| style="text-align:center;" | 8◊9
| style="text-align:center;" | 8◊9
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| style="text-align:center;" | 56
| style="text-align:center;" | 56
| style="text-align:right;" | 1083.871
| style="text-align:right;" | 1083.871
|1148.9032
|1387.3548 (56B.5AD7<sub>16</sub>)
|1387.3548 (56B.5AD7<sub>16</sub>)
| style="text-align:center;" | 8#
| style="text-align:center;" | 8#
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| style="text-align:center;" | 57
| style="text-align:center;" | 57
| style="text-align:right;" | 1103.2258
| style="text-align:right;" | 1103.2258
|1169.41935
|1412.129 (584.2108<sub>16</sub>)
|1412.129 (584.2108<sub>16</sub>)
| style="text-align:center;" | 9v (1b)
| style="text-align:center;" | 9v (1b)
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| style="text-align:center;" | 58
| style="text-align:center;" | 58
| style="text-align:right;" | 1122.58065
| style="text-align:right;" | 1122.58065
|1189.9355
|1436.9032 (59C.E73A<sub>16</sub>)
|1436.9032 (59C.E73A<sub>16</sub>)
| style="text-align:center;" | 9⌐
| style="text-align:center;" | 9⌐
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| style="text-align:center;" | 59
| style="text-align:center;" | 59
| style="text-align:right;" | 1141.9355
| style="text-align:right;" | 1141.9355
|1210.4516
|1461.6774 (5B5.AD6B<sub>16</sub>)
|1461.6774 (5B5.AD6B<sub>16</sub>)
| style="text-align:center;" | 9
| style="text-align:center;" | 9
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| style="text-align:center;" | 60
| style="text-align:center;" | 60
| style="text-align:right;" | 1161.2903
| style="text-align:right;" | 1161.2903
|1230.9677
|1486.4516 (5C4.739D<sub>16</sub>)
|1486.4516 (5C4.739D<sub>16</sub>)
| style="text-align:center;" | 9Ɨ (1v)
| style="text-align:center;" | 9Ɨ (1v)
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| style="text-align:center;" | 61
| style="text-align:center;" | 61
| style="text-align:right;" | 1180.6452
| style="text-align:right;" | 1180.6452
|1251.4839
|1411.2258 (5E7.39CD<sub>16</sub>)
|1411.2258 (5E7.39CD<sub>16</sub>)
| style="text-align:center;" | 1⌐ (9‡)
| style="text-align:center;" | 1⌐ (9‡)
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| style="text-align:center;" | 62
| style="text-align:center;" | 62
| style="text-align:right;" | 1200
| style="text-align:right;" | 1200
|1272
|1536 (600<sub>16</sub>)
|1536 (600<sub>16</sub>)
| style="text-align:center;" | 1
| style="text-align:center;" | 1
| |  
| |  
|}
|}

Revision as of 12:41, 12 December 2019

62 tone equal temperament

62edo divides the octave into 62 equal parts of 19.35484 cents each. 62 = 2 * 31 and the patent val is a contorted 31edo through the 11-limit; in the 13-limit it tempers out 169/168, 1188/1183, 847/845 and 676/675. It provides the optimal patent val for gallium, semivalentine and hemimeantone temperaments.

Using the 35\62 generator, which leads to the <62 97 143 173| val, 62edo is also an excellent tuning for septimal mavila temperament; alternatively <62 97 143 172| supports hornbostel.

62-EDO Intervals

ARMODUE NOMENCLATURE 8;3 RELATION
  • Ɨ = Thick (1/8-tone up)
  • ‡ = Semisharp (1/4-tone up)
  • b = Flat (5/8-tone down)
  • ◊ = Node (sharp/flat blindspot 1/2-tone)
  • # = Sharp (5/8-tone up)
  • v = Semiflat (1/4-tone down)
  • ⌐ = Thin (1/8-tone down)
Degree Size Armodue notation Approximate intervals
Cents 7mus
0 1
1 19.3548 24.7742 (18.C63216) 1Ɨ
2 38.7097 49.5484 (31.8C6316) 1‡ (9#)
3 58.0645 74.3226 (4A.529516) 2b
4 77.41935 99.0968 (63.18C616) 1◊2
5 96.7742 123.871 (7B.DEF816) 1#
6 116.129 148.6452 (94.A52916) 2v
7 135.4839 173.41935 (AD.7B5B16) 2⌐
8 154.8387 198.19355 (C6.318C16) 2
9 174.19355 222.9677 (DE.F7BE16) 2Ɨ
10 193.5484 247.7419 (F7.BDEF816) 2‡
11 212.9032 272.5161 (110.842116) 3b ·
12 232.2581 297.2903 (129.4A5316) 2◊3
13 251.6129 322.0645 (142.108416) 2#
14 270.9677 346.8387 (15A.D6B616) 3v
15 290.3226 371.6129 (173.9CE716) 3⌐
16 309.6774 396.3871 (18C.631916) 3
17 329.0323 421.1613 (1A5.294A16) 3Ɨ
18 348.3871 445.9355 (1BD.EF7C16) 3‡
19 367.7419 470.7097 (1D6.B5AD16) 4b ·
20 387.0968 495.4838 (1EF.7BDF16) 3◊4
21 406.4516 520.2581 (208.4210816) 3#
22 425.80645 545.0323 (221.084216) 4v (5b)
23 445.1613 569.80645 (239.CE7416) 4⌐
24 464.5161 594.58065 (252.94A516) 4
25 483.871 619.3548 (26B.5AD716) 4Ɨ (5v)
26 503.2258 644.129 (284.210816) 5⌐ (4‡)
27 522.58065 668.9032 (29C.E73A16) 5 ·
28 541.9355 693.6774 (2B5.AD6B16) 5Ɨ
29 561.2903 718.4516 (2C4.739D16) 5‡ (4#)
30 580.6452 743.2258 (2E7.39CD16) 6b
31 600 768 (30016) 5◊6
32 619.3548 792.7742 (318.C63216) 5#
33 638.7097 813.5484 (331.8C6316) 6v
34 658.0645 842.3226 (34A.529516) 6⌐
35 677.41935 867.0968 (363.18C616) 6 ·
36 696.7742 891.871 (37B.DEF816) 6Ɨ
37 716.129 916.6452 (394.A52916) 6‡
38 735.4839 941.41935 (3AD.7B5B16) 7b
39 754.8387 966.19355 (3C6.318C16) 6◊7
40 774.19355 990.9677 (3DE.F7BE16) 6#
41 793.5484 1015.7419 (3F7.BDEF816) 7v
42 812.9032 1040.5161 (410.842116) 7⌐
43 832.2581 1065.2903 (429.4A5316) 7 ·
44 851.6129 1090.0645 (442.108416) 7Ɨ
45 870.9677 1114.8387 (45A.D6B616) 7‡
46 890.3226 1139.6129 (473.9CE716) 8b
47 909.6774 1164.3871 (48C.631916) 7◊8
48 929.0323 1189.1613 (4A5.294A16) 7#
49 948.3871 1213.9355 (4BD.EF7C16) 8v
50 967.7419 1238.7097 (4D6.B5AD16) 8⌐
51 987.0968 1263.4838 (4EF.7BDF16) 8 ·
52 1006.4516 1288.2581 (508.4210816) 8Ɨ
53 1025.80645 1313.0323 (521.084216) 8‡
54 1045.1613 1337.80645 (539.CE7416) 9b
55 1064.5161 1362.58065 (552.94A516) 8◊9
56 1083.871 1387.3548 (56B.5AD716) 8#
57 1103.2258 1412.129 (584.210816) 9v (1b)
58 1122.58065 1436.9032 (59C.E73A16) 9⌐
59 1141.9355 1461.6774 (5B5.AD6B16) 9
60 1161.2903 1486.4516 (5C4.739D16) 9Ɨ (1v)
61 1180.6452 1411.2258 (5E7.39CD16) 1⌐ (9‡)
62 1200 1536 (60016) 1
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