Mohajira: Difference between revisions
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Mohajira is a [[Meantone_family#Mohajira|meantone]] temperament that splits 3/2 into two 11/9's and the 6/5 into two 11/10's. It can be thought of as meantone with quarter tones as it merely spits the generator 3/2 into two equally spaced neutral thirds. Among the most common is the seven note MOS mohajira[7] which consists of the steps LsLsLss, as well as the MODMOS "Rast" which merely flats the fourth by one quarter tone. | Mohajira is a [[Meantone_family#Mohajira|meantone]] temperament that splits 3/2 into two 11/9's and the 6/5 into two 11/10's. It can be thought of as meantone with quarter tones as it merely spits the generator 3/2 into two equally spaced neutral thirds. Among the most common is the seven note MOS mohajira[7] which consists of the steps LsLsLss, as well as the MODMOS "Rast" which merely flats the fourth by one quarter tone. | ||
= Temperament data = | |||
Period: 1\1 | |||
Optimal ([[POTE]]) generator: ~11/9 = 348.477 | |||
EDO generators: [[24edo|7\24]], [[31edo|9\31]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Interval table (12-note MOS, 2.3.5.7.11 POTE tuning)</div> | |||
<div class="mw-collapsible-content"> | |||
{| class="wikitable right-1 right-2 sortable" | |||
|+ | |||
|- | |||
! #Gens up | |||
! Cents <ref>octave-reduced</ref> | |||
! class="unsortable"| Approximate ratios<ref>2.3.5.7.11, odd limit ≤ 27. JI readings in parentheses are outside the subgroup but are supported by the defining EDOs.</ref> | |||
|- | |||
| 0 | |||
| 0.00 | |||
| 1/1 | |||
|- | |||
| 1 | |||
| 348.5 | |||
| 11/9 | |||
|- | |||
| 2 | |||
| 697.0 | |||
| 3/2 | |||
|- | |||
| 3 | |||
| 1045.4 | |||
| 11/6 | |||
|- | |||
| 4 | |||
| 193.9 | |||
| 9/8 | |||
|- | |||
| 5 | |||
| 542.4 | |||
| 11/8, 15/11 | |||
|- | |||
| 6 | |||
| 890.9 | |||
| 5/3 | |||
|- | |||
| 7 | |||
| 39.3 | |||
| | |||
|- | |||
| 8 | |||
| 387.8 | |||
| 5/4 | |||
|- | |||
| 9 | |||
| 736.3 | |||
| 32/21 | |||
|- | |||
| 10 | |||
| 1084.8 | |||
| 15/8 | |||
|- | |||
| 11 | |||
| 233.2 | |||
| 8/7 | |||
|} | |||
<references/></div></div> | |||
=Modes and MOS= | =Modes and MOS= | ||
There are seven diatonic modes of mohajira which are structured in an analogous way to the seven church modes of the major scale. They can be thought of as quarter tone altered modes in a 24 EDO setting, but also as microtonal altered scales in any equal temperament. While the Mohajira[7] MOS by itself is quite beautiful, the Modmos, Rast tends to be more expressive as it contains a few major and minor thirds allowing for more contrast. | There are seven diatonic modes of mohajira which are structured in an analogous way to the seven church modes of the major scale. They can be thought of as quarter tone altered modes in a 24 EDO setting, but also as microtonal altered scales in any equal temperament. While the Mohajira[7] MOS by itself is quite beautiful, the Modmos, Rast tends to be more expressive as it contains a few major and minor thirds allowing for more contrast. | ||