1193edo: Difference between revisions

m Theory: nullity-1 temps are best given by commas
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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| 1891 -1193 }}
| {{monzo| 1891 -1193 }}
| {{mapping| 1193 1891 }}
| {{mapping| 1193 1891 }}
| -0.0443
| &minus;0.0443
| 0.0443
| 0.0443
| 4.41
| 4.41
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| {{monzo| 10 -40 -23 }}, {{monzo| 77 -31 -12 }}
| {{monzo| 10 -40 -23 }}, {{monzo| 77 -31 -12 }}
| {{mapping| 1193 1891 2770 }}
| {{mapping| 1193 1891 2770 }}
| -0.0209
| &minus;0.0209
| 0.0491
| 0.0491
| 4.88
| 4.88
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| 2401/2400, {{monzo| -13 -12 15 -1 }}, {{monzo| 41 -15 -5 -2 }}
| 2401/2400, {{monzo| -13 -12 15 -1 }}, {{monzo| 41 -15 -5 -2 }}
| {{mapping| 1193 1891 2770 3349 }}
| {{mapping| 1193 1891 2770 3349 }}
| -0.000028
| &minus;0.000028
| 0.0558
| 0.0558
| 5.55
| 5.55
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| 2401/2400, 3025/3024, 4096/4095, 78125/78078, 114345/114244
| 2401/2400, 3025/3024, 4096/4095, 78125/78078, 114345/114244
| {{mapping| 1193 1891 2770 3349 4127 4415 }}
| {{mapping| 1193 1891 2770 3349 4127 4415 }}
| -0.0121
| &minus;0.0121
| 0.0617
| 0.0617
| 6.14
| 6.14
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| 0.0664
| 0.0664
| 6.60
| 6.60
|}
{{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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| 768/625
| 768/625
| [[Dodifo]]
| [[Dodifo]]
|}
{{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 ==
; [[User:Francium|Francium]]
; [[User:Francium|Francium]]
* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] | [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] | [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] gross in 1193edo
* "I Made A Gross Mistake" from ''Gross Temperament EP'' (2023) [https://open.spotify.com/track/1hLYQFf1K97uv4jOAaGzgS Spotify] | [https://francium223.bandcamp.com/track/i-made-a-gross-mistake Bandcamp] | [https://www.youtube.com/watch?v=FRdrzOkAKic YouTube] &ndash; gross in 1193edo
* ''1193'' (2024) [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] | [https://francium223.bandcamp.com/album/1193 bandcamp] | [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] 4-piece EP in 1193edo
* ''1193'' (2024) &ndash; [https://open.spotify.com/album/4lJGqEt76mFGRbxWQmT6vo Spotify] | [https://francium223.bandcamp.com/album/1193 bandcamp] | [https://www.youtube.com/playlist?list=PLLZE7hMjEXRatIUXyBQyjNvDsiV40JAmk YouTube] &ndash; 4-piece EP in 1193edo


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