1106edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
| Line 26: | Line 26: | ||
|- | |- | ||
| 2.3 | | 2.3 | ||
| {{ | | {{Monzo| 1753 -1106 }} | ||
| {{ | | {{Mapping| 1106 1753 }} | ||
| −0.010 | | −0.010 | ||
| 0.010 | | 0.010 | ||
| Line 33: | Line 33: | ||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| {{ | | {{Monzo| -53 10 16 }}, {{monzo| -13 -46 37 }} | ||
| {{ | | {{Mapping| 1106 1753 2568 }} | ||
| +0.001 | | +0.001 | ||
| 0.019 | | 0.019 | ||
| Line 41: | Line 41: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 4375/4374, 52734375/52706752, {{monzo| 46 -14 -3 -6 }} | | 4375/4374, 52734375/52706752, {{monzo| 46 -14 -3 -6 }} | ||
| {{ | | {{Mapping| 1106 1753 2568 3105 }} | ||
| −0.006 | | −0.006 | ||
| 0.020 | | 0.020 | ||
| Line 48: | Line 48: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 3025/3024, 4375/4374, 5767168/5764801, 35156250/35153041 | | 3025/3024, 4375/4374, 5767168/5764801, 35156250/35153041 | ||
| {{ | | {{Mapping| 1106 1753 2568 3105 3826 }} | ||
| +0.004 | | +0.004 | ||
| 0.026 | | 0.026 | ||
| Line 55: | Line 55: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 3025/3024, 4096/4095, 4375/4374, 78125/78078, 105644/105625 | | 3025/3024, 4096/4095, 4375/4374, 78125/78078, 105644/105625 | ||
| {{ | | {{Mapping| 1106 1753 2568 3105 3826 4093 }} | ||
| −0.012 | | −0.012 | ||
| 0.043 | | 0.043 | ||
| Line 62: | Line 62: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 2500/2499, 3025/3024, 4096/4095, 4375/4374, 4914/4913, 8624/8619 | | 2500/2499, 3025/3024, 4096/4095, 4375/4374, 4914/4913, 8624/8619 | ||
| {{ | | {{Mapping| 1106 1753 2568 3105 3826 4093 4521 }} | ||
| −0.021 | | −0.021 | ||
| 0.045 | | 0.045 | ||
| Line 72: | Line 72: | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br | ! Periods<br>per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br | ! Associated<br>ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 94: | Line 94: | ||
| 162.749 | | 162.749 | ||
| 1125/1024 | | 1125/1024 | ||
| [[ | | [[Crazy]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 401\1106<br | | 401\1106<br>(152\1106) | ||
| 435.081<br | | 435.081<br>(164.919) | ||
| 9/7<br | | 9/7<br>(11/10) | ||
| [[Semisupermajor]] | | [[Semisupermajor]] | ||
|- | |- | ||
| 7 | | 7 | ||
| 479\1106<br | | 479\1106<br>(5\1106) | ||
| 519.711<br | | 519.711<br>(5.424) | ||
| 27/20<br | | 27/20<br>(5120/5103) | ||
| [[Brahmagupta]] (7-limit) | | [[Brahmagupta]] (7-limit) | ||
|- | |- | ||
| 79 | | 79 | ||
| 459\1106<br | | 459\1106<br>(11\1106) | ||
| 498.011<br | | 498.011<br>(11.935) | ||
| 4/3<br | | 4/3<br>(?) | ||
| [[Gold]] | | [[Gold]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[ | <nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[normal lists|minimal form]] in parentheses if distinct | ||