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Valentine: Difference between revisions

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→Tunings: +tuning ranges
→Interval chain: adopt CWE tuning
Line 6: Line 6:


== Interval chain ==
== Interval chain ==
Odd harmonics and subharmonics 1–21  are in '''bold'''.  
In the following table, odd harmonics and subharmonics 1–21  are in '''bold'''.  


{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
Line 27: Line 27:
|-
|-
| 1
| 1
| 77.88
| 77.9
| 21/20, 22/21, 25/24
| 21/20, 22/21, 25/24
|  
|  
Line 34: Line 34:
|-
|-
| 2
| 2
| 155.76
| 155.8
| 12/11, 11/10, 35/32
| 12/11, 11/10, 35/32
|  
|  
Line 41: Line 41:
|-
|-
| 3
| 3
| 233.64
| 233.7
| '''8/7'''
| '''8/7'''
|  
|  
Line 48: Line 48:
|-
|-
| 4
| 4
| 311.52
| 311.6
| 6/5
| 6/5
|  
|  
Line 55: Line 55:
|-
|-
| 5
| 5
| 389.41
| 389.5
| '''5/4'''
| '''5/4'''
|  
|  
Line 62: Line 62:
|-
|-
| 6
| 6
| 467.29
| 467.4
| '''21/16'''
| '''21/16'''
|  
|  
Line 69: Line 69:
|-
|-
| 7
| 7
| 545.17
| 545.3
| '''11/8''', 15/11
| '''11/8''', 15/11
|  
|  
Line 76: Line 76:
|-
|-
| 8
| 8
| 623.05
| 623.2
| 10/7
| 10/7
| 56/39
| 56/39
Line 83: Line 83:
|-
|-
| 9
| 9
| 700.93
| 701.1
| '''3/2'''
| '''3/2'''
|  
|  
Line 90: Line 90:
|-
|-
| 10
| 10
| 778.81
| 779.0
| 11/7, 25/16
| 11/7, 25/16
|  
|  
Line 97: Line 97:
|-
|-
| 11
| 11
| 856.69
| 856.9
| 18/11
| 18/11
| 64/39
| 64/39
Line 104: Line 104:
|-
|-
| 12
| 12
| 934.57
| 934.8
| 12/7
| 12/7
|  
|  
Line 111: Line 111:
|-
|-
| 13
| 13
| 1012.46
| 1012.7
| 9/5, 25/14
| 9/5, 25/14
|  
|  
Line 118: Line 118:
|-
|-
| 14
| 14
| 1090.34
| 1090.6
| '''15/8'''
| '''15/8'''
|  
|  
Line 125: Line 125:
|-
|-
| 15
| 15
| 1168.22
| 1168.5
| 63/32, 96/49, 55/28, <br>108/55, 125/64
| 55/28, 63/32, 96/49, <br>108/55, 125/64
|  
|  
| 39/20
| 39/20
Line 132: Line 132:
|-
|-
| 16
| 16
| 46.10
| 46.4
| 33/32, 36/35, 50/49
| 33/32, 36/35, 50/49
| 40/39
| 40/39
Line 139: Line 139:
|-
|-
| 17
| 17
| 123.98
| 124.3
| 15/14, 27/25
| 15/14, 27/25
| 14/13
| 14/13
Line 146: Line 146:
|-
|-
| 18
| 18
| 201.86
| 202.2
| '''9/8'''
| '''9/8'''
|  
|  
Line 153: Line 153:
|-
|-
| 19
| 19
| 279.74
| 280.1
| 33/28
| 33/28
|  
|  
Line 160: Line 160:
|-
|-
| 20
| 20
| 357.62
| 358.0
| 27/22
| 27/22
| '''16/13'''
| '''16/13'''
Line 167: Line 167:
|-
|-
| 21
| 21
| 435.51
| 435.9
| 9/7
| 9/7
|  
|  
Line 174: Line 174:
|-
|-
| 22
| 22
| 513.39
| 513.8
| 27/20
| 27/20
| 35/26
| 35/26
Line 181: Line 181:
|-
|-
| 23
| 23
| 591.27
| 591.7
| 45/32
| 45/32
|  
|  
Line 188: Line 188:
|-
|-
| 24
| 24
| 669.15
| 669.6
| 72/49
| 72/49
|  
|  
Line 195: Line 195:
|-
|-
| 25
| 25
| 747.03
| 747.5
| 54/35
| 54/35
| 20/13
| 20/13
Line 202: Line 202:
|-
|-
| 26
| 26
| 824.91
| 825.4
| 45/28
| 45/28
| 21/13
| 21/13
Line 209: Line 209:
|-
|-
| 27
| 27
| 902.79
| 903.3
| 27/16
| 27/16
| 22/13
| 22/13
Line 216: Line 216:
|-
|-
| 28
| 28
| 980.67
| 981.2
| 99/56
| 99/56
|  
|  
Line 223: Line 223:
|-
|-
| 29
| 29
| 1058.56
| 1059.1
| 90/49
| 90/49
| 24/13
| 24/13
Line 230: Line 230:
|-
|-
| 30
| 30
| 1136.44
| 1137.0
| 27/14
| 27/14
| 25/13
| 25/13
Line 237: Line 237:
|-
|-
| 31
| 31
| 14.32
| 14.9
| 81/80, 99/98
| 81/80, 99/98
|  
|  
Line 243: Line 243:
|  
|  
|}
|}
 
<nowiki/>* In 11-limit [[CWE tuning]]
<nowiki>*</nowiki> in 11-limit POTE tuning


== Chords ==
== Chords ==
Retrieved from "https://en.xen.wiki/w/Valentine"