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181edo: Difference between revisions

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→Intervals: that's a bit overkill
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! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning error
|-
|-
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|-
|-
| 2.3
| 2.3
| {{monzo| 287 -181 }}
| {{Monzo| 287 -181 }}
| {{mapping| 181 287 }}
| {{Mapping| 181 287 }}
| −0.255
| −0.255
| 0.255
| 0.255
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| 2.3.5
| 2.3.5
| 2109375/2097152, {{monzo| 14 -22 9 }}
| 2109375/2097152, {{monzo| 14 -22 9 }}
| {{mapping| 181 287 420 }}
| {{Mapping| 181 287 420 }}
| +0.086
| +0.086
| 0.525
| 0.525
Line 784: Line 784:
| 2.3.5.7
| 2.3.5.7
| 2401/2400, 5120/5103, 390625/387072
| 2401/2400, 5120/5103, 390625/387072
| {{mapping| 181 287 420 508 }}
| {{Mapping| 181 287 420 508 }}
| +0.142
| +0.142
| 0.465
| 0.465
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| 2.3.5.7.11
| 2.3.5.7.11
| 385/384, 1375/1372, 2200/2187, 4000/3993
| 385/384, 1375/1372, 2200/2187, 4000/3993
| {{mapping| 181 287 420 508 626 }}
| {{Mapping| 181 287 420 508 626 }}
| +0.174
| +0.174
| 0.421
| 0.421
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| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 325/324, 352/351, 385/384, 1375/1372, 1575/1573
| 325/324, 352/351, 385/384, 1375/1372, 1575/1573
| {{mapping| 181 287 420 508 626 670 }}
| {{Mapping| 181 287 420 508 626 670 }}
| +0.079
| +0.079
| 0.439
| 0.439
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| 2.3.5.7.11.13.17
| 2.3.5.7.11.13.17
| 325/324, 352/351, 375/374, 385/384, 595/594, 1275/1274
| 325/324, 352/351, 375/374, 385/384, 595/594, 1275/1274
| {{mapping| 181 287 420 508 626 670 740 }}
| {{Mapping| 181 287 420 508 626 670 740 }}
| +0.028
| +0.028
| 0.425
| 0.425
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| 2.3.5.7.11.13.17.19
| 2.3.5.7.11.13.17.19
| 325/324, 352/351, 375/374, 385/384, 400/399, 595/594, 1275/1274
| 325/324, 352/351, 375/374, 385/384, 400/399, 595/594, 1275/1274
| {{mapping| 181 287 420 508 626 670 740 769 }}
| {{Mapping| 181 287 420 508 626 670 740 769 }}
| +0.000
| +0.000
| 0.404
| 0.404
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|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
|-
! Periods<br />per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br />ratio*
! Associated<br>ratio*
! Temperaments
! Temperaments
|-
|-
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| 39\181
| 39\181
| 258.56
| 258.56
| {{monzo| -32 13 5 }}
| {{Monzo| -32 13 5 }}
| [[Lafa]]
| [[Lafa]]
|-
|-
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| 49/40
| 49/40
| [[Hemififths]] (7-limit)
| [[Hemififths]] (7-limit)
|-
| 1
| 78\181
| 517.13
| 66/49
| [[Cutefourths]]
|-
|-
| 1
| 1
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| 583.43
| 583.43
| 7/5
| 7/5
| [[Cotritone]] (181f)
| [[Cotritone]] (11-limit)
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki />* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|minimal form]] in parentheses if distinct


== Music ==
== Music ==
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