1429edo: Difference between revisions

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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
| 2.3
| {{monzo| 2265 -1429 }}
| {{monzo| 2265 -1429 }}
| {{mapping| 1429 2265 }}
| {{mapping| 1429 2265 }}
| -0.0235
| &minus;0.0235
| 0.0234
| 0.0234
| 2.80
| 2.80
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| {{monzo| 39 -29 3 }}, {{monzo| -66 -36 53 }}
| {{monzo| 39 -29 3 }}, {{monzo| -66 -36 53 }}
| {{mapping| 1429 2265 3318 }}
| {{mapping| 1429 2265 3318 }}
| -0.0114
| &minus;0.0114
| 0.0257
| 0.0257
| 3.06
| 3.06
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| 4375/4374, {{monzo| 26 4 -3 -14 }}, {{monzo| 40 -22 -1 -1 }}
| 4375/4374, {{monzo| 26 4 -3 -14 }}, {{monzo| 40 -22 -1 -1 }}
| {{mapping| 1429 2265 3318 4012 }}
| {{mapping| 1429 2265 3318 4012 }}
| -0.0302
| &minus;0.0302
| 0.0395
| 0.0395
| 4.70
| 4.70
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| 4375/4374, 131072/130977, 759375/758912, 3294225/3294172
| 4375/4374, 131072/130977, 759375/758912, 3294225/3294172
| {{mapping| 1429 2265 3318 4012 4944 }}
| {{mapping| 1429 2265 3318 4012 4944 }}
| -0.0471
| &minus;0.0471
| 0.0488
| 0.0488
| 5.81
| 5.81
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| 2080/2079, 4096/4095, 4375/4374, 78125/78078, 3294225/3294172
| 2080/2079, 4096/4095, 4375/4374, 78125/78078, 3294225/3294172
| {{mapping| 1429 2265 3318 4012 4944 5288 }}
| {{mapping| 1429 2265 3318 4012 4944 5288 }}
| -0.0420
| &minus;0.0420
| 0.0460
| 0.0460
| 5.48
| 5.48
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| 2080/2079, 2500/2499, 4096/4095, 4375/4374, 11016/11011, 108086/108045
| 2080/2079, 2500/2499, 4096/4095, 4375/4374, 11016/11011, 108086/108045
| {{mapping| 1429 2265 3318 4012 4944 5288 5841 }}
| {{mapping| 1429 2265 3318 4012 4944 5288 5841 }}
| -0.0364
| &minus;0.0364
| 0.0447
| 0.0447
| 5.32
| 5.32
|}
{{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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| 25/18
| 25/18
| [[Trillium]]
| [[Trillium]]
|}
{{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 ==
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== Music ==
== Music ==
; [[Francium]]
; [[Francium]]
* "Gross Pattern" from ''Gross temperament EP'' (2023) [https://open.spotify.com/track/1BwMVnnrzfug6pSLUJ0jSG Spotify] | [https://francium223.bandcamp.com/track/gross-pattern Bandcamp] | [https://youtu.be/ttQVdzSy96M?si=Puvjpvzud8yQ2TAj YouTube] gross in 1429edo tuning
* "Gross Pattern" from ''Gross temperament EP'' (2023) [https://open.spotify.com/track/1BwMVnnrzfug6pSLUJ0jSG Spotify] | [https://francium223.bandcamp.com/track/gross-pattern Bandcamp] | [https://youtu.be/ttQVdzSy96M?si=Puvjpvzud8yQ2TAj YouTube] &ndash; gross in 1429edo tuning


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