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181edo: Difference between revisions

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autopatrolled
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→Intervals: that's a bit overkill
Overthink (talk | contribs)
autopatrolled
2,773 edits
→Intervals: delete everything beyond 23-limit
 
(2 intermediate revisions by one other user not shown)
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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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| {{monzo| 287 -181 }}
| {{Monzo| 287 -181 }}
| {{mapping| 181 287 }}
| {{Mapping| 181 287 }}
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| 2109375/2097152, {{monzo| 14 -22 9 }}
| 2109375/2097152, {{monzo| 14 -22 9 }}
| {{mapping| 181 287 420 }}
| {{Mapping| 181 287 420 }}
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| 2401/2400, 5120/5103, 390625/387072
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| {{mapping| 181 287 420 508 }}
| {{Mapping| 181 287 420 508 }}
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| {{mapping| 181 287 420 508 626 }}
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| {{mapping| 181 287 420 508 626 670 740 }}
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| 325/324, 352/351, 375/374, 385/384, 400/399, 595/594, 1275/1274
| {{mapping| 181 287 420 508 626 670 740 769 }}
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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
| [[Hemififths]] (7-limit)
| [[Hemififths]] (7-limit)
|-
| 1
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| 517.13
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| [[Cutefourths]]
|-
|-
| 1
| 1
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| 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 #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


== Music ==
== Music ==
Retrieved from "https://en.xen.wiki/w/181edo"