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Table of 167edo intervals: Difference between revisions

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Let's start with the basics -- get the diatonic marks and prime harmonics right
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Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in ''italic''. Intervals that differ by more than 100% or with odd limit over 800 are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.
Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in ''italic''. Intervals that differ by more than 100% or with odd limit over 800 are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.
{{Todo|complete table|inline=1|text=Add missing ratios}}


{| class="wikitable center-1 right-2 center-3"
{| class="wikitable center-1 right-2 center-3"
Line 24: Line 26:
|  
|  
|  
|  
|  
| [[169/168]], [[196/195]]
|-
|-
| 2
| 2
Line 30: Line 32:
|  
|  
|  
|  
|  
| [[225/224]]
|  
| [[100/99]]
|  
| [[144/143]]
|-
|-
| 3
| 3
Line 38: Line 40:
|  
|  
|  
|  
| [[64/63]]
|  
|  
|  
| [[105/104]]
|
|-
|-
| 4
| 4
| 28.743
| 28.743
|  
|  
|  
| [[81/80]]
|  
|  
|  
|  
Line 56: Line 58:
|  
|  
|  
|  
|
|875/858
|-
|-
| 6
| 6
Line 63: Line 65:
|  
|  
|  
|  
|  
| [[45/44]]
|  
| 729/715
|-
|-
| 7
| 7
Line 70: Line 72:
|  
|  
|  
|  
|  
| [[36/35]]
|  
|  
|
|
Line 77: Line 79:
| 57.485
| 57.485
|  
|  
|  
| [[6561/6400]]
|  
| [[28/27]]
|  
|  
|  
|  
Line 87: Line 89:
|  
|  
|  
|  
|  
| 80/77
|  
| 660/637
|-
|-
| 10
| 10
Line 95: Line 97:
|  
|  
|  
|  
|  
| [[729/704]]
|  
| 176/169
|-
|-
| 11
| 11
| 79.042
| 79.042
| m2
| m2
|  
| [[256/243]]
|  
| 729/700
|  
|  
|  
|  
Line 110: Line 112:
|  
|  
|  
|  
|  
| [[21/20]]
|  
|  
|  
|  
Line 119: Line 121:
|  
|  
|  
|  
|  
| 81/77
|  
|  
|-
|-
Line 127: Line 129:
|  
|  
|  
|  
|  
| 35/33
|  
|  
|-
|-
| 15
| 15
| 107.784
| 107.784
|  
|
|  
| [[16/15]]
|  
|  
|  
|  
Line 143: Line 145:
|  
|  
|  
|  
|  
| 576/539
|  
|  
|-
|-
Line 149: Line 151:
| 122.156
| 122.156
|  
|  
|  
|
|  
| [[15/14]]
|  
|  
|  
|  
Line 160: Line 162:
|  
|  
|  
|  
|  
| [[14/13]]
|-
|-
| 19
| 19
Line 168: Line 170:
|  
|  
|  
|  
|  
| [[13/12]]
|-
|-
| 20
| 20
Line 174: Line 176:
|  
|  
|  
|  
|  
| [[49/45]]
|  
|  
|  
|  
Line 183: Line 185:
|  
|  
|  
|  
|  
| [[12/11]]
|  
|  
|-
|-
Line 190: Line 192:
|  
|  
|  
|  
|  
| [[35/32]]
|  
|  
|  
|  
Line 199: Line 201:
|  
|  
|  
|  
|  
| [[11/10]]
|  
|  
|-
|-
Line 207: Line 209:
|  
|  
|  
|  
|  
| 875/792
|  
|  
|-
|-
Line 213: Line 215:
| 179.641
| 179.641
|  
|  
| [[10/9]]
|  
|  
|
|
|  
|  
|  
|-
|-
Line 223: Line 225:
|  
|  
|  
|  
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| 352/315
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|  
|-
|-
Line 230: Line 232:
|  
|  
|  
|  
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| 125/112
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|  
|  
|  
Line 238: Line 240:
|
|
|  
|  
|  
| 640/567
|  
|  
|  
|  
Line 245: Line 247:
| 208.383
| 208.383
| M2
| M2
|  
| ''[[9/8]]''
|  
|  
|  
|  
Line 254: Line 256:
|  
|  
|  
|  
|  
| 245/216, 500/441
|  
|  
|  
|  
Line 263: Line 265:
|  
|  
|  
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| 154/135
|  
|  
|-
|-
Line 278: Line 280:
|  
|  
|  
|  
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| 729/640
|  
|  
|  
|  
Line 288: Line 290:
|  
|  
|  
|  
|  
| 52/45
|-
|-
| 35
| 35
Line 294: Line 296:
|  
|  
|  
|  
|  
| 512/441
|  
|  
|  
|  
Line 301: Line 303:
| 258.683
| 258.683
|  
|  
|  
| 2560/2187
|  
|  
|  
|  
Line 310: Line 312:
|  
|  
|  
|  
|  
| [[7/6]]
|  
|  
|  
|  
Line 319: Line 321:
|  
|  
|  
|  
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| 90/77
|  
|  
|-
|-
Line 328: Line 330:
|  
|  
|  
|  
|
|168/143
|-
|-
| 40
| 40
| 287.425
| 287.425
| m3
| m3
| [[32/27]]
|  
|  
|  
|  
|  
| [[13/11]]
|
|-
|-
| 41
| 41
Line 342: Line 344:
|
|
|  
|  
| 189/160
|  
|  
|  
| 245/208
|
|-
|-
| 42
| 42
Line 365: Line 367:
| 316.168
| 316.168
|  
|  
|  
| [[6/5]]
|  
|  
|  
|  
Line 477: Line 479:
| 416.766
| 416.766
| M3
| M3
| [[81/64]]
|  
|  
|  
| [[14/11]]
|
|
|
|-
|-
Line 653: Line 655:
| 574.850
| 574.850
| d5
| d5
|  
| [[1024/729]]
|  
|  
|  
|  
Line 709: Line 711:
| 625.150
| 625.150
| A4
| A4
|  
| [[729/512]]
|  
|  
|  
|  
Line 885: Line 887:
| 783.234
| 783.234
| m6
| m6
|  
| [[128/81]]
|  
|  
|  
|  
Line 997: Line 999:
| 883.832
| 883.832
|  
|  
|  
| [[5/3]]
|  
|  
|  
|  
Line 1,029: Line 1,031:
| 912.575
| 912.575
| M6
| M6
|  
| [[27/16]]
|  
|  
|  
|  
Line 1,117: Line 1,119:
| 991.617
| 991.617
| m7
| m7
|  
| [[16/9]]
|  
|  
|  
|  
Line 1,261: Line 1,263:
| 1120.958
| 1120.958
| M7
| M7
|  
| [[243/128]]
|  
|  
|  
|  
Retrieved from "https://en.xen.wiki/w/Table_of_167edo_intervals"