1193edo: Difference between revisions
mNo edit summary |
Cleanup; clarify the title row of the rank-2 temp table |
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== Theory == | == Theory == | ||
1193et tempers out [[2401/2400]] in the 7-limit; [[ | 1193et tempers out [[2401/2400]] in the 7-limit; [[3025/3024]], [[41503/41472]], 151263/151250, 17561600/17537553, 26214400/26198073, 95703125/95664294, and [[117440512/117406179]] in the 11-limit. It supports the [[gross]] temperament. | ||
=== Prime harmonics === | === Prime harmonics === | ||
| Line 24: | Line 24: | ||
| 2.3 | | 2.3 | ||
| {{monzo| 1891 -1193 }} | | {{monzo| 1891 -1193 }} | ||
| {{ | | {{mapping| 1193 1891 }} | ||
| -0.0443 | | -0.0443 | ||
| 0.0443 | | 0.0443 | ||
| Line 31: | Line 31: | ||
| 2.3.5 | | 2.3.5 | ||
| {{monzo| 10 -40 -23 }}, {{monzo| 77 -31 -12 }} | | {{monzo| 10 -40 -23 }}, {{monzo| 77 -31 -12 }} | ||
| {{ | | {{mapping| 1193 1891 2770 }} | ||
| -0.0209 | | -0.0209 | ||
| 0.0491 | | 0.0491 | ||
| Line 38: | Line 38: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 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 }} | ||
| -0.000028 | | -0.000028 | ||
| 0.0558 | | 0.0558 | ||
| Line 45: | Line 45: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 2401/2400, 3025/3024, 17561600/17537553, 95703125/95664294 | | 2401/2400, 3025/3024, 17561600/17537553, 95703125/95664294 | ||
| {{ | | {{mapping| 1193 1891 2770 3349 4127 }} | ||
| +0.0059 | | +0.0059 | ||
| 0.0513 | | 0.0513 | ||
| Line 52: | Line 52: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 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 }} | ||
| -0.0121 | | -0.0121 | ||
| 0.0617 | | 0.0617 | ||
| Line 59: | Line 59: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 2401/2400, 2431/2430, 2601/2600, 3025/3024, 4096/4095, 42500/42471 | | 2401/2400, 2431/2430, 2601/2600, 3025/3024, 4096/4095, 42500/42471 | ||
| {{ | | {{mapping| 1193 1891 2770 3349 4127 4415 4876 }} | ||
| +0.0017 | | +0.0017 | ||
| 0.0664 | | 0.0664 | ||
| Line 69: | Line 69: | ||
|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | ! Periods<br>per 8ve | ||
! Generator | ! Generator* | ||
! Cents | ! Cents* | ||
! Associated<br>Ratio | ! Associated<br>Ratio | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
|1 | | 1 | ||
|91\1193 | | 91\1193 | ||
|91.534 | | 91.534 | ||
|{{monzo|144 -22 -47}} | | {{monzo| 144 -22 -47 }} | ||
|[[Gross]] | | [[Gross]] | ||
|- | |- | ||
|1 | | 1 | ||
|257\1193 | | 257\1193 | ||
|258.508 | | 258.508 | ||
|125/108 | | 125/108 | ||
|[[Lafa]] | | [[Lafa]] | ||
|- | |- | ||
|1 | | 1 | ||
|355\1193 | | 355\1193 | ||
|357.083 | | 357.083 | ||
|768/625 | | 768/625 | ||
|[[Dodifo]] | | [[Dodifo]] | ||
|} | |} | ||
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
== Music == | == Music == | ||
* [https://www.youtube.com/watch?v=FRdrzOkAKic I Made A Gross Mistake] | ; [[User:Francium|Francium]] | ||
* [https://www.youtube.com/watch?v=FRdrzOkAKic ''I Made A Gross Mistake''] (2023) | |||