Sensi extensions: Difference between revisions

Interval chain: was a readability hell
Interval chain: tuning; +ratios
Line 12: Line 12:


== Interval chain ==
== Interval chain ==
In the following table, odd harmonics and subharmonics 1–21 are in '''bold'''.
{| class="wikitable right-1 right-2"
{| class="wikitable right-1 right-2"
|-
|-
Line 25: Line 27:
|-
|-
| 0
| 0
| 0.000
| 0.0
| '''1/1'''
| '''1/1'''
|  
|  
Line 33: Line 35:
|-
|-
| 1
| 1
| 443.34
| 443.4
| 9/7, 13/10, 22/17
| 9/7, 13/10, 22/17
|  
|  
Line 41: Line 43:
|-
|-
| 2
| 2
| 886.69
| 886.8
| 5/3
| 5/3
|  
|  
Line 49: Line 51:
|-
|-
| 3
| 3
| 130.03
| 130.2
| 13/12, 14/13, 15/14
| 13/12, 14/13, 15/14
|  
|  
Line 57: Line 59:
|-
|-
| 4
| 4
| 573.38
| 573.6
| 7/5, 18/13
| 7/5, 18/13
|  
|  
Line 65: Line 67:
|-
|-
| 5
| 5
| 1016.72
| 1017.0
| 9/5
| 9/5
|  
|  
Line 73: Line 75:
|-
|-
| 6
| 6
| 260.07
| 260.4
| 7/6, 15/13
| 7/6, 15/13
|  
|  
Line 81: Line 83:
|-
|-
| 7
| 7
| 703.41
| 703.8
| '''3/2'''
| '''3/2'''
|  
|  
Line 89: Line 91:
|-
|-
| 8
| 8
| 1146.76
| 1147.2
|  
| 27/14, 35/18
|  
|  
|  
|  
Line 97: Line 99:
|-
|-
| 9
| 9
| 390.10
| 390.6
| '''5/4'''
| '''5/4'''
|  
|  
Line 105: Line 107:
|-
|-
| 10
| 10
| 833.45
| 834.0
| '''13/8'''
| '''13/8''', 21/13
|  
|  
| 18/11, 28/17
| 18/11, 28/17
Line 113: Line 115:
|-
|-
| 11
| 11
| 76.79
| 77.4
|  
| 21/20, 25/24
|  
|  
| 18/17
| 18/17
Line 121: Line 123:
|-
|-
| 12
| 12
| 520.14
| 520.8
|  
| 27/20
|  
|  
| 15/11
| 15/11
Line 129: Line 131:
|-
|-
| 13
| 13
| 963.48
| 964.2
| '''7/4'''
| '''7/4'''
|  
|  
Line 137: Line 139:
|-
|-
| 14
| 14
| 206.83
| 207.6
| 9/8
| '''9/8'''
|  
|  
|  
|  
Line 145: Line 147:
|-
|-
| 15
| 15
| 650.17
| 651.0
|  
| 35/24
| '''16/11'''
| '''16/11'''
|  
|  
Line 153: Line 155:
|-
|-
| 16
| 16
| 1093.51
| 1094.5
| 15/8
| '''15/8'''
| '''32/17'''
| '''32/17'''
|  
|  
Line 161: Line 163:
|-
|-
| 17
| 17
| 336.86
| 337.9
|  
| 39/32
|  
|  
|  
|  
Line 169: Line 171:
|-
|-
| 18
| 18
| 780.20
| 781.3
|  
| 25/16
|  
|  
|  
|  
Line 177: Line 179:
|-
|-
| 19
| 19
| 23.55
| 24.7
|  
| 49/48, 65/64, 81/80
|  
|  
|  
|  
Line 185: Line 187:
|-
|-
| 20
| 20
| 466.89
| 468.1
|  
| '''21/16'''
|  
|  
|  
|  
Line 193: Line 195:
|-
|-
| 21
| 21
| 910.24
| 911.5
|  
| 27/16
|  
|  
|  
|  
Line 201: Line 203:
|-
|-
| 22
| 22
| 153.58
| 154.9
|  
| 35/32
| 12/11
| 12/11
|  
|  
Line 209: Line 211:
|-
|-
| 23
| 23
| 596.93
| 598.3
|  
| 45/32
| 24/17
| 24/17
|  
|  
Line 217: Line 219:
|-
|-
| 24
| 24
| 1040.27
| 1041.7
|  
| 117/64
| 20/11
| 20/11
|  
|  
Line 225: Line 227:
|-
|-
| 25
| 25
| 283.62
| 285.1
|  
| 75/64
| 13/11, 20/17
| 13/11, 20/17
|  
|  
Line 233: Line 235:
|-
|-
| 26
| 26
| 726.96
| 728.5
|  
| 49/32
| 26/17
| 26/17
|  
|  
Line 241: Line 243:
|-
|-
| 27
| 27
| 1170.31
| 1171.9
|  
| 63/32
|  
|  
|  
|  
Line 249: Line 251:
|-
|-
| 28
| 28
| 413.65
| 415.3
|  
| 81/64
| 14/11
| 14/11
|  
|  
Line 257: Line 259:
|-
|-
| 29
| 29
| 857.00
| 858.7
|  
| 105/64
| 18/11, 28/17
| 18/11, 28/17
|  
|  
Line 265: Line 267:
|-
|-
| 30
| 30
| 100.34
| 102.1
|  
| 135/128
| 18/17
| 18/17
|  
|  
Line 273: Line 275:
|-
|-
| 31
| 31
| 543.68
| 545.5
|  
| 175/128
| 15/11
| 15/11
|  
|  
Line 281: Line 283:
|-
|-
| 32
| 32
| 987.03
| 988.9
|  
| 225/128
| 30/17
| 30/17
|  
|  
Line 289: Line 291:
|}
|}


: <sup>*</sup> in 2.3.5.7.13.17/11 POTE tuning
: <sup>*</sup> in 2.3.5.7.13.17/11 subgroup CTE tuning


== Tuning spectra ==
== Tuning spectra ==