Rodan: Difference between revisions

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added ups and downs
Line 29: Line 29:
In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.  
In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.  


{| class="wikitable sortable center-1 center-2 right-3"
{| class="wikitable sortable center-1 center-2 center-3 right-4"
|-
|-
! rowspan="2" | # !! rowspan="2" | Extended <br> diatonic <br> interval !! rowspan="2" | Cents* !! colspan="2" | Approximate ratios
! rowspan="2" | # !! rowspan="2" | Extended <br> diatonic <br> interval !! rowspan="2" | Ups and downs <br> notation !! rowspan="2" | Cents* !! colspan="2" | Approximate ratios
|-
|-
! rowspan="1" | Ratios of the 11-limit !! colspan="1" | Ratios of the 17-limit
! rowspan="1" | Ratios of the 11-limit !! colspan="1" | Ratios of the 17-limit
Line 37: Line 37:
| 0
| 0
| P1
| P1
| D
| 0.00
| 0.00
| '''1/1'''
| '''1/1'''
Line 43: Line 44:
| 1
| 1
| SM2
| SM2
| ^E
| 234.46
| 234.46
| '''8/7'''
| '''8/7'''
Line 49: Line 51:
| 2
| 2
| s4
| s4
| vG
| 468.92
| 468.92
| '''21/16''', 64/49
| '''21/16''', 64/49
Line 55: Line 58:
| 3
| 3
| P5
| P5
| A
| 703.38
| 703.38
| '''3/2'''
| '''3/2'''
Line 61: Line 65:
| 4
| 4
| SM6
| SM6
| ^B
| 937.84
| 937.84
| 12/7, 55/32
| 12/7, 55/32
Line 67: Line 72:
| 5
| 5
| s8
| s8
| vD
| 1172.30
| 1172.30
| 55/28, 63/32, 96/49, 108/55, 160/81
| 55/28, 63/32, 96/49, 108/55, 160/81
Line 73: Line 79:
| 6
| 6
| M2
| M2
| E
| 206.76
| 206.76
| '''9/8'''
| '''9/8'''
Line 79: Line 86:
| 7
| 7
| SM3
| SM3
| ^F#
| 441.22
| 441.22
| 9/7, 35/27
| 9/7, 35/27
Line 85: Line 93:
| 8
| 8
| s5
| s5
| vA
| 675.68
| 675.68
| 40/27, 49/33, 72/49
| 40/27, 49/33, 72/49
Line 91: Line 100:
| 9
| 9
| M6
| M6
| B
| 910.14
| 910.14
| 27/16, 56/33
| 27/16, 56/33
Line 97: Line 107:
| 10
| 10
| SM7
| SM7
| ^C#
| 1144.59
| 1144.59
| 27/14, 35/18, 64/33
| 27/14, 35/18, 64/33
Line 103: Line 114:
| 11
| 11
| sM2
| sM2
| vE
| 179.05
| 179.05
| 10/9
| 10/9
Line 109: Line 121:
| 12
| 12
| M3
| M3
| F#
| 413.51
| 413.51
| 14/11, 81/64
| 14/11, 81/64
Line 115: Line 128:
| 13
| 13
| SA4
| SA4
| ^G#
| 647.97
| 647.97
| '''16/11''', 35/24
| '''16/11''', 35/24
Line 121: Line 135:
| 14
| 14
| sM6
| sM6
| vB
| 882.43
| 882.43
| 5/3
| 5/3
Line 127: Line 142:
| 15
| 15
| M7
| M7
| C#
| 1116.89
| 1116.89
| 21/11, 40/21
| 21/11, 40/21
Line 133: Line 149:
| 16
| 16
| SA1
| SA1
| ^D#
| 151.35
| 151.35
| 12/11, 35/32
| 12/11, 35/32
Line 139: Line 156:
| 17
| 17
| sM3
| sM3
| vF#
| 385.81
| 385.81
| '''5/4'''
| '''5/4'''
Line 145: Line 163:
| 18
| 18
| A4
| A4
| G#
| 620.27
| 620.27
| 10/7
| 10/7
Line 151: Line 170:
| 19
| 19
| SA5
| SA5
| ^A#
| 854.73
| 854.73
| 18/11
| 18/11
Line 157: Line 177:
| 20
| 20
| sM7
| sM7
| vC#
| 1089.19
| 1089.19
| '''15/8'''
| '''15/8'''
Line 163: Line 184:
| 21
| 21
| A1
| A1
| D#
| 123.65
| 123.65
| 15/14
| 15/14
Line 169: Line 191:
| 22
| 22
| SA2
| SA2
| ^E#
| 358.11
| 358.11
| 27/22, 60/49
| 27/22, 60/49
Line 175: Line 198:
| 23
| 23
| sA4
| sA4
| vG#
| 592.57
| 592.57
| 45/32
| 45/32
Line 181: Line 205:
| 24
| 24
| A5
| A5
| A#
| 827.03
| 827.03
| 45/28
| 45/28
Line 187: Line 212:
| 25
| 25
| SA6
| SA6
| ^B#
| 1061.49
| 1061.49
| 50/27, 90/49
| 50/27, 90/49
Line 193: Line 219:
| 26
| 26
| sA1
| sA1
| vD#
| 95.95
| 95.95
| 35/33
| 35/33
Line 199: Line 226:
| 27
| 27
| A2
| A2
| E#
| 330.41
| 330.41
| 40/33
| 40/33
Line 205: Line 233:
| 28
| 28
| SA3
| SA3
| ^Fx
| 564.87
| 564.87
| 25/18
| 25/18
Line 211: Line 240:
| 29
| 29
| sA5
| sA5
| vA#
| 799.33
| 799.33
| 35/22, 100/63
| 35/22, 100/63
Line 217: Line 247:
| 30
| 30
| A6
| A6
| B#
| 1033.79
| 1033.79
| 20/11
| 20/11
Line 223: Line 254:
| 31
| 31
| SA7
| SA7
| ^Cx
| 68.25
| 68.25
| 25/24
| 25/24