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183edo: 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
Line 36: Line 28:
| 32805/32768, {{val| 10 23 -20 }}
| 32805/32768, {{val| 10 23 -20 }}
| {{mapping| 183 290 425 }}
| {{mapping| 183 290 425 }}
| -0.0157
| &minus;0.0157
| 0.182
| 0.182
| 2.78
| 2.78
Line 43: Line 35:
| 6144/6125, 16875/16807, 19683/19600
| 6144/6125, 16875/16807, 19683/19600
| {{mapping| 183 290 425 514 }}
| {{mapping| 183 290 425 514 }}
| -0.1601
| &minus;0.1601
| 0.296
| 0.296
| 4.51
| 4.51
Line 50: Line 42:
| 540/539, 1375/1372, 5632/5625, 8019/8000
| 540/539, 1375/1372, 5632/5625, 8019/8000
| {{mapping| 183 290 425 514 633 }}
| {{mapping| 183 290 425 514 633 }}
| -0.0993
| &minus;0.0993
| 0.291
| 0.291
| 4.44
| 4.44
Line 57: Line 49:
| 351/350, 540/539, 676/675, 1375/1372, 4096/4095
| 351/350, 540/539, 676/675, 1375/1372, 4096/4095
| {{mapping| 183 290 425 514 633 677 }}
| {{mapping| 183 290 425 514 633 677 }}
| -0.0295
| &minus;0.0295
| 0.308
| 0.308
| 4.70
| 4.70
Line 64: Line 56:
| 351/350, 442/441, 540/539, 561/560, 1375/1372, 4096/4095
| 351/350, 442/441, 540/539, 561/560, 1375/1372, 4096/4095
| {{mapping| 183 290 425 514 633 677 748 }}
| {{mapping| 183 290 425 514 633 677 748 }}
| -0.0240
| &minus;0.0240
| 0.286
| 0.286
| 4.36
| 4.36
|}
{{comma basis end}}
* 183et has lower absolute errors in the 13-, 17-, 19-, and 23-limit than any previous equal temperaments, after [[130edo|130]], [[171edo|171]], [[161edo|161]], and [[159edo|159]], respectively. In the 13-, 19-, and 23-limit it is superseded by [[190edo|190g]]. In the 17-limit, where it is the strongest, by [[217edo|217]].  
* 183et has lower absolute errors in the 13-, 17-, 19-, and 23-limit than any previous equal temperaments, after [[130edo|130]], [[171edo|171]], [[161edo|161]], and [[159edo|159]], respectively. In the 13-, 19-, and 23-limit it is superseded by [[190edo|190g]]. In the 17-limit, where it is the strongest, by [[217edo|217]].  


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all right-3 left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperament
|-
|-
| 1
| 1
Line 140: Line 126:
|-
|-
| 3
| 3
| 38\183<br>(23\183)
| 38\183<br />(23\183)
| 249.18<br>(150.82)
| 249.18<br />(150.82)
| 15/13<br>(12/11)
| 15/13<br />(12/11)
| [[Hemiterm]]
| [[Hemiterm]]
|-
|-
| 3
| 3
| 76\183<br>(15\183)
| 76\183<br />(15\183)
| 498.36<br>(98.36)
| 498.36<br />(98.36)
| 4/3<br>(200/189)
| 4/3<br />(200/189)
| [[Term]] / terminator
| [[Term]] / terminator
|-
|-
| 61
| 61
| 38\183<br>(2\183)
| 38\183<br />(2\183)
| 249.18<br>(13.11)
| 249.18<br />(13.11)
| 13750/11907<br>(?)
| 13750/11907<br />(?)
| [[Promethium]]
| [[Promethium]]
|}
{{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 ==
; [[birdshite stalactite]]
; [[birdshite stalactite]]
* from ''meticulous clutter'' (2022)
* from ''meticulous clutter'' (2022)
** "cursed owl windchimes" – [https://open.spotify.com/track/0A9z6gw5HuNWS7eYjvtCa1 Spotify] | [https://birdshitestalactite.bandcamp.com/track/cursed-owl-windchimes Bandcamp] | [https://www.youtube.com/watch?v=vyTbwHhdoXE YouTube] – madagascar[19] in 183edo tuning
** "cursed owl windchimes" &ndash; [https://open.spotify.com/track/0A9z6gw5HuNWS7eYjvtCa1 Spotify] | [https://birdshitestalactite.bandcamp.com/track/cursed-owl-windchimes Bandcamp] | [https://www.youtube.com/watch?v=vyTbwHhdoXE YouTube] &ndash; madagascar[19] in 183edo tuning
** "octopus bones" – [https://open.spotify.com/track/6TUm7uXjVaO6MGACWswoL7 Spotify] | [https://birdshitestalactite.bandcamp.com/track/octopus-bones Bandcamp] | [https://www.youtube.com/watch?v=ej80dEpC-DQ YouTube] – madagascar[19] in 183edo tuning and parakleismic[19] in 61edo tuning
** "octopus bones" &ndash; [https://open.spotify.com/track/6TUm7uXjVaO6MGACWswoL7 Spotify] | [https://birdshitestalactite.bandcamp.com/track/octopus-bones Bandcamp] | [https://www.youtube.com/watch?v=ej80dEpC-DQ YouTube] &ndash; madagascar[19] in 183edo tuning and parakleismic[19] in 61edo tuning
* "lemon drizzle" from ''tropical nosebleed'' (2023) – [https://open.spotify.com/track/3dBXs1KjzTjSWJ7KF4BjlK Spotify] | [https://birdshitestalactite.bandcamp.com/track/lemon-drizzle Bandcamp] | [https://www.youtube.com/watch?v=VJ_bAvWB8W0 YouTube]
* "lemon drizzle" from ''tropical nosebleed'' (2023) &ndash; [https://open.spotify.com/track/3dBXs1KjzTjSWJ7KF4BjlK Spotify] | [https://birdshitestalactite.bandcamp.com/track/lemon-drizzle Bandcamp] | [https://www.youtube.com/watch?v=VJ_bAvWB8W0 YouTube]


[[Category:Borneo]]
[[Category:Borneo]]
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