65edo: Difference between revisions

+infobox; improve intro
+ratios for interval table
Line 20: Line 20:


== Intervals ==
== Intervals ==
 
{| class="wikitable center-all right-2 left-3"
{| class="wikitable center-all right-2"
|-
|-
! [[Degree]]
! [[Degree]]
! [[Cent]]s
! [[Cent]]s
! colspan="2" |[[Ups and Downs Notation]]
! Approximate Ratios *
! colspan="2" | [[Ups and Downs Notation]]
|-
|-
| 0
| 0
| 0.00
| 0.00
| 1/1
| P1
| P1
| D
| D
Line 34: Line 35:
| 1
| 1
| 18.46
| 18.46
| 81/80, 100/99, 121/120
| ^1
| ^1
| ^D
| ^D
Line 39: Line 41:
| 2
| 2
| 36.92
| 36.92
| 45/44, 55/54, 128/125
| ^^1
| ^^1
| ^^D
| ^^D
Line 44: Line 47:
| 3
| 3
| 55.38
| 55.38
| 33/32
| vvm2
| vvm2
| vvEb
| vvEb
Line 49: Line 53:
| 4
| 4
| 73.85
| 73.85
| 25/24
| vm2
| vm2
| vEb
| vEb
Line 54: Line 59:
| 5
| 5
| 92.31
| 92.31
| 135/128, 256/243
| m2
| m2
| Eb
| Eb
Line 59: Line 65:
| 6
| 6
| 110.77
| 110.77
| 16/15
| A1/^m2
| A1/^m2
| D#/^Eb
| D#/^Eb
Line 64: Line 71:
| 7
| 7
| 129.23
| 129.23
| 14/13
| v~2
| v~2
| ^^Eb
| ^^Eb
Line 69: Line 77:
| 8
| 8
| 147.69
| 147.69
| 12/11
| ~2
| ~2
| vvvE
| vvvE
Line 74: Line 83:
| 9
| 9
| 166.15
| 166.15
| 11/10
| ^~2
| ^~2
| vvE
| vvE
Line 79: Line 89:
| 10
| 10
| 184.62
| 184.62
| 10/9
| vM2
| vM2
| vE
| vE
Line 84: Line 95:
| 11
| 11
| 203.08
| 203.08
| 9/8
| M2
| M2
| E
| E
Line 89: Line 101:
| 12
| 12
| 221.54
| 221.54
| 25/22
| ^M2
| ^M2
| ^E
| ^E
Line 94: Line 107:
| 13
| 13
| 240.00
| 240.00
| 55/48
| ^^M2
| ^^M2
| ^^E
| ^^E
Line 99: Line 113:
| 14
| 14
| 258.46
| 258.46
| 64/55
| vvm3
| vvm3
| vvF
| vvF
Line 104: Line 119:
| 15
| 15
| 276.92
| 276.92
| 75/64
| vm3
| vm3
| vF
| vF
Line 109: Line 125:
| 16
| 16
| 295.38
| 295.38
| 32/27
| m3
| m3
| F
| F
Line 114: Line 131:
| 17
| 17
| 313.85
| 313.85
| 6/5
| ^m3
| ^m3
| ^F
| ^F
Line 119: Line 137:
| 18
| 18
| 332.31
| 332.31
| 40/33
| v~3
| v~3
| ^^F
| ^^F
Line 124: Line 143:
| 19
| 19
| 350.77
| 350.77
| 11/9, 27/22
| ~3
| ~3
| ^^^F
| ^^^F
Line 129: Line 149:
| 20
| 20
| 369.23
| 369.23
| 26/21
| ^~3
| ^~3
| vvF#
| vvF#
Line 134: Line 155:
| 21
| 21
| 387.69
| 387.69
| 5/4
| vM3
| vM3
| vF#
| vF#
Line 139: Line 161:
| 22
| 22
| 406.15
| 406.15
| 81/64
| M3
| M3
| F#
| F#
Line 144: Line 167:
| 23
| 23
| 424.62
| 424.62
| 32/25
| ^M3
| ^M3
| ^F#
| ^F#
Line 149: Line 173:
| 24
| 24
| 443.08
| 443.08
| 128/99
| ^^M3
| ^^M3
| ^^F#
| ^^F#
Line 154: Line 179:
| 25
| 25
| 461.54
| 461.54
| 72/55
| vv4
| vv4
| vvG
| vvG
Line 159: Line 185:
| 26
| 26
| 480.00
| 480.00
| 33/25
| v4
| v4
| vG
| vG
Line 164: Line 191:
| 27
| 27
| 498.46
| 498.46
| 4/3
| P4
| P4
| G
| G
Line 169: Line 197:
| 28
| 28
| 516.92
| 516.92
| 27/20
| ^4
| ^4
| ^G
| ^G
Line 174: Line 203:
| 29
| 29
| 535.38
| 535.38
| 15/11
| v~4
| v~4
| ^^G
| ^^G
Line 179: Line 209:
| 30
| 30
| 553.85
| 553.85
| 11/8
| ~4
| ~4
| ^^^G
| ^^^G
Line 184: Line 215:
| 31
| 31
| 572.31
| 572.31
| 25/18
| ^~4/vd5
| ^~4/vd5
| vvG#/vAb
| vvG#/vAb
Line 189: Line 221:
| 32
| 32
| 590.77
| 590.77
| 45/32
| vA4/d5
| vA4/d5
| vG#/Ab
| vG#/Ab
Line 194: Line 227:
| 33
| 33
| 609.23
| 609.23
| 64/45
| A4/^d5
| A4/^d5
| G#/^Ab
| G#/^Ab
Line 199: Line 233:
| 34
| 34
| 627.69
| 627.69
| 36/25
| ^A4/v~5
| ^A4/v~5
| ^G#/^^Ab
| ^G#/^^Ab
Line 204: Line 239:
| 35
| 35
| 646.15
| 646.15
| 16/11
| ~5
| ~5
| vvvA
| vvvA
Line 209: Line 245:
| 36
| 36
| 664.62
| 664.62
| 22/15
| ^~5
| ^~5
| vvA
| vvA
Line 214: Line 251:
| 37
| 37
| 683.08
| 683.08
| 40/27
| v5
| v5
| vA
| vA
Line 219: Line 257:
| 38
| 38
| 701.54
| 701.54
| 3/2
| P5
| P5
| A
| A
Line 224: Line 263:
| 39
| 39
| 720.00
| 720.00
| 50/33
| ^5
| ^5
| ^A
| ^A
Line 229: Line 269:
| 40
| 40
| 738.46
| 738.46
| 55/36
| ^^5
| ^^5
| ^^A
| ^^A
Line 234: Line 275:
| 41
| 41
| 756.92
| 756.92
| 99/64
| vvm6
| vvm6
| vvBb
| vvBb
Line 239: Line 281:
| 42
| 42
| 775.38
| 775.38
| 25/16
| vm6
| vm6
| vBb
| vBb
Line 244: Line 287:
| 43
| 43
| 793.85
| 793.85
| 128/81
| m6
| m6
| Bb
| Bb
Line 249: Line 293:
| 44
| 44
| 812.31
| 812.31
| 8/5
| ^m6
| ^m6
| ^Bb
| ^Bb
Line 254: Line 299:
| 45
| 45
| 830.77
| 830.77
| 21/13
| v~6
| v~6
| ^^Bb
| ^^Bb
Line 259: Line 305:
| 46
| 46
| 849.23
| 849.23
| 18/11, 44/27
| ~6
| ~6
| vvvB
| vvvB
Line 264: Line 311:
| 47
| 47
| 867.69
| 867.69
| 33/20
| ^~6
| ^~6
| vvB
| vvB
Line 269: Line 317:
| 48
| 48
| 886.15
| 886.15
| 5/3
| vM6
| vM6
| vB
| vB
Line 274: Line 323:
| 49
| 49
| 904.62
| 904.62
| 27/16
| M6
| M6
| B
| B
Line 279: Line 329:
| 50
| 50
| 923.08
| 923.08
| 128/75
| ^M6
| ^M6
| ^B
| ^B
Line 284: Line 335:
| 51
| 51
| 941.54
| 941.54
| 55/32
| ^^M6
| ^^M6
| ^^B
| ^^B
Line 289: Line 341:
| 52
| 52
| 960.00
| 960.00
| 96/55
| vvm7
| vvm7
| vvC
| vvC
Line 294: Line 347:
| 53
| 53
| 978.46
| 978.46
| 44/25
| vm7
| vm7
| vC
| vC
Line 299: Line 353:
| 54
| 54
| 996.92
| 996.92
| 16/9
| m7
| m7
| C
| C
Line 304: Line 359:
| 55
| 55
| 1015.38
| 1015.38
| 9/5
| ^m7
| ^m7
| ^C
| ^C
Line 309: Line 365:
| 56
| 56
| 1033.85
| 1033.85
| 20/11
| v~7
| v~7
| ^^C
| ^^C
Line 314: Line 371:
| 57
| 57
| 1052.31
| 1052.31
| 11/6
| ~7
| ~7
| ^^^C
| ^^^C
Line 319: Line 377:
| 58
| 58
| 1070.77
| 1070.77
| 13/7
| ^~7
| ^~7
| vvC#
| vvC#
Line 324: Line 383:
| 59
| 59
| 1089.23
| 1089.23
| 15/8
| vM7
| vM7
| vC#
| vC#
Line 329: Line 389:
| 60
| 60
| 1107.69
| 1107.69
| 243/128, 256/135
| M7
| M7
| C#
| C#
Line 334: Line 395:
| 61
| 61
| 1126.15
| 1126.15
| 48/25
| ^M7
| ^M7
| ^C#
| ^C#
Line 339: Line 401:
| 62
| 62
| 1144.62
| 1144.62
| 64/33
| ^^M7
| ^^M7
| ^^C#
| ^^C#
Line 344: Line 407:
| 63
| 63
| 1163.08
| 1163.08
| 88/45, 108/55, 125/64
| vv8
| vv8
| vvD
| vvD
Line 349: Line 413:
| 64
| 64
| 1181.54
| 1181.54
| 160/81, 99/50, 240/121
| v8
| v8
| vD
| vD
Line 354: Line 419:
| 65
| 65
| 1200.00
| 1200.00
| 2/1
| P8
| P8
| D
| D
|}
|}
<nowiki>*</nowiki> based on treating 65edo as a 2.3.5.11.13/7 subgroup temperament.


== Scales ==
== Scales ==