2129edo: Difference between revisions

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m Text replacement - "[[Helmholtz temperament|" to "[[Helmholtz (temperament)|"
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|2129}}
{{ED intro}}


== Theory ==
== Theory ==
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== Regular temperament properties ==
== Regular temperament properties ==
{{comma basis begin}}
{| class="wikitable center-4 center-5 center-6"
|-
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
|-
| 2.9
| 2.9
| {{monzo| -6749 2129 }}
| {{monzo| -6749 2129 }}
| {{mapping| 2129 6749 }}
| {{mapping| 2129 6749 }}
| &minus;0.0204
| −0.0204
| 0.0204
| 0.0204
| 3.62
| 3.62
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| {{monzo| 37 29 -33 }}, {{monzo| 209 -61 -4 }}
| {{monzo| 37 29 -33 }}, {{monzo| 209 -61 -4 }}
| {{mapping| 2129 6749 8318 }}
| {{mapping| 2129 6749 8318 }}
| &minus;0.0247
| −0.0247
| 0.0177
| 0.0177
| 3.14
| 3.14
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| 24414062500/24407490807, 13841287201/13839609375, 2199023255552/2197176384375
| 24414062500/24407490807, 13841287201/13839609375, 2199023255552/2197176384375
| {{mapping| 2129 6749 8318 5977 }}
| {{mapping| 2129 6749 8318 5977 }}
| &minus;0.0256
| −0.0256
| 0.0154
| 0.0154
| 2.73
| 2.73
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| 9800/9801, 5767168/5764801, 104857600/104825259, 13841287201/13839609375
| 9800/9801, 5767168/5764801, 104857600/104825259, 13841287201/13839609375
| {{mapping| 2129 6749 8318 5977 7365 }}
| {{mapping| 2129 6749 8318 5977 7365 }}
| &minus;0.0162
| −0.0162
| 0.0232
| 0.0232
| 4.12
| 4.12
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| 10648/10647, 9801/9800, 196625/196608, 36924979/36905625, 304117528/303807105
| 10648/10647, 9801/9800, 196625/196608, 36924979/36905625, 304117528/303807105
| {{mapping| 2129 6749 8318 5977 7365 7878 }}
| {{mapping| 2129 6749 8318 5977 7365 7878 }}
| &minus;0.0075
| −0.0075
| 0.0288
| 0.0288
| 5.11
| 5.11
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| 2431/2430, 10648/10647, 9801/9800, 845325/845152, 297440/297381, 11275335/11275264, 15980544/15978655
| 2431/2430, 10648/10647, 9801/9800, 845325/845152, 297440/297381, 11275335/11275264, 15980544/15978655
| {{mapping| 2129 6749 8318 5977 7365 7878 8702 }}
| {{mapping| 2129 6749 8318 5977 7365 7878 8702 }}
| &minus;0.0024
| −0.0024
| 0.0295
| 0.0295
| 5.2
| 5.2
{{comma basis end}}
|}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{{rank-2 begin}}
{| class="wikitable center-all left-5"
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
! Periods<br />per 8ve
! Generator*
! Cents*
! Associated<br />ratio*
! Temperaments
|-
|-
| 1
| 1
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| 498.262
| 498.262
| 4/3
| 4/3
| [[Helmholtz]]
| [[Helmholtz (temperament)|Helmholtz]]
{{rank-2 end}}
|}
{{orf}}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct


== Scales ==
== Scales ==
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== Music ==
== Music ==
; [[User:Francium|Francium]]
; [[User:Francium|Francium]]
* "Brid Dance" from ''HemischisMatic EP'' (2023) &ndash; [https://open.spotify.com/track/6yXO4yHFM0EWk3pCjop8Dp Spotify] | [https://francium223.bandcamp.com/track/brid-dance Bandcamp] | [https://youtu.be/xF_1MKMlsjY?si=8Db0YVe6GQ9ZgPET YouTube] &ndash; [[hemischis]] in 2129edo tuning
* "Brid Dance" from ''HemischisMatic EP'' (2023) [https://open.spotify.com/track/6yXO4yHFM0EWk3pCjop8Dp Spotify] | [https://francium223.bandcamp.com/track/brid-dance Bandcamp] | [https://youtu.be/xF_1MKMlsjY?si=8Db0YVe6GQ9ZgPET YouTube] [[hemischis]] in 2129edo tuning


[[Category:Listen]]
[[Category:Listen]]