1559edo: 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
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| {{monzo| 38 -2 -15 }}, {{monzo| 71 -99 37 }}
| {{monzo| 38 -2 -15 }}, {{monzo| 71 -99 37 }}
| {{mapping| 1559 2471 3620 }}
| {{mapping| 1559 2471 3620 }}
| -0.0196
| &minus;0.0196
| 0.0155
| 0.0155
| 2.01
| 2.01
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| 43046721/43025920, 78125000/78121827, 12884901888/12867859375
| 43046721/43025920, 78125000/78121827, 12884901888/12867859375
| {{mapping| 1559 2471 3620 4377 }}
| {{mapping| 1559 2471 3620 4377 }}
| -0.0376
| &minus;0.0376
| 0.0339
| 0.0339
| 4.40
| 4.40
Line 46: Line 38:
| 3025/3024, 180224/180075, 50014503/50000000, 56953125/56942116
| 3025/3024, 180224/180075, 50014503/50000000, 56953125/56942116
| {{mapping| 1559 2471 3620 4377 5393 }}
| {{mapping| 1559 2471 3620 4377 5393 }}
| -0.0188
| &minus;0.0188
| 0.0483
| 0.0483
| 6.27
| 6.27
Line 53: Line 45:
| 1716/1715, 3025/3024, 4096/4095, 492128/492075, 5282739/5281250
| 1716/1715, 3025/3024, 4096/4095, 492128/492075, 5282739/5281250
| {{mapping| 1559 2471 3620 4377 5393 5769 }}
| {{mapping| 1559 2471 3620 4377 5393 5769 }}
| -0.0162
| &minus;0.0162
| 0.0445
| 0.0445
| 5.78
| 5.78
|}
{{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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| 8000/6561
| 8000/6561
| [[Raider]]
| [[Raider]]
|}
{{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 ==
; [[Francium]]
; [[Francium]]
* "confluenceprettype" from ''albumwithoutspaces'' (2024) [https://open.spotify.com/track/0jCzkUrwVEHevs7xAWgsvh Spotify] | [https://francium223.bandcamp.com/track/confluenceprettype Bandcamp] | [https://www.youtube.com/watch?v=4rxv7ec4BEM YouTube] luna[25] in 1559edo tuning
* "confluenceprettype" from ''albumwithoutspaces'' (2024) &ndash; [https://open.spotify.com/track/0jCzkUrwVEHevs7xAWgsvh Spotify] | [https://francium223.bandcamp.com/track/confluenceprettype Bandcamp] | [https://www.youtube.com/watch?v=4rxv7ec4BEM YouTube] &ndash; luna[25] in 1559edo tuning
 
[[Category:Listen]]