2129edo: Difference between revisions

ArrowHead294 (talk | contribs)
mNo edit summary
Line 12: Line 12:


== 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]] (%)
|-
|-
| 2.9
| 2.9
| {{monzo| -6749 2129 }}
| {{monzo| -6749 2129 }}
| {{mapping| 2129 6749 }}
| {{mapping| 2129 6749 }}
| -0.0204
| &minus;0.0204
| 0.0204
| 0.0204
| 3.62
| 3.62
Line 32: Line 24:
| {{monzo| 37 29 -33 }}, {{monzo| 209 -61 -4 }}
| {{monzo| 37 29 -33 }}, {{monzo| 209 -61 -4 }}
| {{mapping| 2129 6749 8318 }}
| {{mapping| 2129 6749 8318 }}
| -0.0247
| &minus;0.0247
| 0.0177
| 0.0177
| 3.14
| 3.14
Line 39: Line 31:
| 24414062500/24407490807, 13841287201/13839609375, 2199023255552/2197176384375
| 24414062500/24407490807, 13841287201/13839609375, 2199023255552/2197176384375
| {{mapping| 2129 6749 8318 5977 }}
| {{mapping| 2129 6749 8318 5977 }}
| -0.0256
| &minus;0.0256
| 0.0154
| 0.0154
| 2.73
| 2.73
Line 46: Line 38:
| 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 }}
| -0.0162
| &minus;0.0162
| 0.0232
| 0.0232
| 4.12
| 4.12
Line 53: Line 45:
| 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 }}
| -0.0075
| &minus;0.0075
| 0.0288
| 0.0288
| 5.11
| 5.11
Line 60: Line 52:
| 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 }}
| -0.0024
| &minus;0.0024
| 0.0295
| 0.0295
| 5.2
| 5.2
|}
{{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
Line 79: Line 65:
| 4/3
| 4/3
| [[Helmholtz]]
| [[Helmholtz]]
|}
{{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}}


== Scales ==
== Scales ==
Line 87: Line 73:
== Music ==
== Music ==
; [[User:Francium|Francium]]
; [[User:Francium|Francium]]
* "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
* "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


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