897edo: Difference between revisions

m Adopt template: Factorization; misc. cleanup
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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|Comma List]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve Stretch (¢)
! colspan="2" | Tuning Error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.3.5
| 2.3.5
| {{monzo| 33 -34 9 }}, {{monzo| 70 -9 -24 }}
| {{monzo| 33 -34 9 }}, {{monzo| 70 -9 -24 }}
| {{mapping| 897 ​1422​ 2083​ }}
| {{mapping| 897 ​1422​ 2083​ }}
| -0.1255
| &minus;0.1255
| 0.0996
| 0.0996
| 7.44
| 7.44
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| 250047/250000, 67108864/66976875, 28824005/28697814
| 250047/250000, 67108864/66976875, 28824005/28697814
| {{mapping| 897​ 1422 ​2083 ​2518 }} (897)
| {{mapping| 897​ 1422 ​2083 ​2518 }} (897)
| -0.0706
| &minus;0.0706
| 0.1283
| 0.1283
| 9.59
| 9.59
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| 3025/3024, 5632/5625, 102487/102400, 28824005/28697814
| 3025/3024, 5632/5625, 102487/102400, 28824005/28697814
| {{mapping| 897 ​1422​ 2083 ​2518 ​3103 }} (897)
| {{mapping| 897 ​1422​ 2083 ​2518 ​3103 }} (897)
| -0.0480
| &minus;0.0480
| 0.1234
| 0.1234
| 9.22
| 9.22
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| 676/675, 1001/1000, 3025/3024, 4096/4095, 28824005/28697814
| 676/675, 1001/1000, 3025/3024, 4096/4095, 28824005/28697814
| {{mapping| 897​ 1422 ​2083 ​2518​ 3103​ 3319 }} (897)
| {{mapping| 897​ 1422 ​2083 ​2518​ 3103​ 3319 }} (897)
| -0.0222
| &minus;0.0222
| 0.1265
| 0.1265
| 9.46
| 9.46
|}
{{comma basis end}}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
| 1
| 1
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| 13/12
| 13/12
| [[Avicenna (temperament)|Avicenna]] (897)
| [[Avicenna (temperament)|Avicenna]] (897)
|}
{{rank-2 end}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
{{orf}}


== Music ==
== Music ==
; [[User:Francium|Francium]]
; [[User:Francium|Francium]]
* [https://www.youtube.com/watch?v=opR71xbJ-PQ ''13|3|23''] (2023) 3-, 13- and 23edo polymicrotonal
* [https://www.youtube.com/watch?v=opR71xbJ-PQ ''13|3|23''] (2023) &ndash; 3-, 13-, and 23edo polymicrotonal
 
[[Category:Listen]]