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323edo: Difference between revisions

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m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"
m Interpretation of vulture generator
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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| 512 -323 }}
| {{Monzo| 512 -323 }}
| {{mapping| 323 512 }}
| {{Mapping| 323 512 }}
| −0.0669
| −0.0669
| 0.0669
| 0.0669
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|-
|-
| 2.3.5
| 2.3.5
| {{monzo| 24 -21 4 }}, {{monzo| 38 -2 -15 }}
| {{Monzo| 24 -21 4 }}, {{monzo| 38 -2 -15 }}
| {{mapping| 323 512 750 }}
| {{Mapping| 323 512 750 }}
| −0.0538
| −0.0538
| 0.0577
| 0.0577
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| 2.3.5.7
| 2.3.5.7
| 4375/4374, 589824/588245, 703125/702464
| 4375/4374, 589824/588245, 703125/702464
| {{mapping| 323 512 750 907 }}
| {{Mapping| 323 512 750 907 }}
| −0.1146
| −0.1146
| 0.1165
| 0.1165
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| 2.3.5.7.13
| 2.3.5.7.13
| 676/675, 4096/4095, 4375/4374, 16848/16807
| 676/675, 4096/4095, 4375/4374, 16848/16807
| {{mapping| 323 512 750 907 1195 }}
| {{Mapping| 323 512 750 907 1195 }}
| −0.0431
| −0.0431
| 0.1770
| 0.1770
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| 2.3.5.7.13.17
| 2.3.5.7.13.17
| 442/441, 676/675, 2500/2499, 4096/4095, 4375/4374
| 442/441, 676/675, 2500/2499, 4096/4095, 4375/4374
| {{mapping| 323 512 750 907 1195 1320 }}
| {{Mapping| 323 512 750 907 1195 1320 }}
| +0.0020
| +0.0020
| 0.1905
| 0.1905
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| 2.3.5.7.11
| 2.3.5.7.11
| 1375/1372, 4375/4374, 5632/5625, 14641/14580
| 1375/1372, 4375/4374, 5632/5625, 14641/14580
| {{mapping| 323 512 750 907 1117 }} (323)
| {{Mapping| 323 512 750 907 1117 }} (323)
| −0.0066
| −0.0066
| 0.2399
| 0.2399
Line 70: Line 70:
| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 676/675, 1001/1000, 1375/1372, 4096/4095, 4375/4374
| 676/675, 1001/1000, 1375/1372, 4096/4095, 4375/4374
| {{mapping| 323 512 750 907 1117 1195 }} (323)
| {{Mapping| 323 512 750 907 1117 1195 }} (323)
| +0.0350
| +0.0350
| 0.2380
| 0.2380
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| 2.3.5.7.11
| 2.3.5.7.11
| 540/539, 4375/4374, 12005/11979, 16384/16335
| 540/539, 4375/4374, 12005/11979, 16384/16335
| {{mapping| 323 512 750 907 1118 }} (323e)
| {{Mapping| 323 512 750 907 1118 }} (323e)
| −0.2213
| −0.2213
| 0.2375
| 0.2375
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| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 364/363, 540/539, 676/675, 4096/4095, 4375/4374
| 364/363, 540/539, 676/675, 4096/4095, 4375/4374
| {{mapping| 323 512 750 907 1118 1195 }} (323e)
| {{Mapping| 323 512 750 907 1118 1195 }} (323e)
| −0.1440
| −0.1440
| 0.2773
| 0.2773
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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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| 128\323
| 128\323
| 475.54
| 475.54
| 320/243
| 25/19
| [[Vulture]]
| [[Vulture]]
|-
|-
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| [[Enneadecal]]
| [[Enneadecal]]
|}
|}
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct


[[Category:Deuteromere]]
[[Category:Deuteromere]]
[[Category:Lambeth]]
[[Category:Lambeth]]
[[Category:Stockhausenic]]
[[Category:Stockhausenic]]
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