26edo: Difference between revisions
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== Scales == | == Scales == | ||
=== Orgone temperament === | === MOS scales === | ||
{{main|List of MOS scales in 26edo}} | |||
Important mos scales include (in addition to ones found in [[13edo]]): | |||
* [[Flattone]][7] (diatonic) 4 4 4 3 4 4 3 (15\26, 1\1) (quasi-[[equiheptatonic]]) | |||
* [[Flattone]][12] (chromatic) 3 1 3 1 3 1 3 3 1 3 1 3 (15\26, 1\1) | |||
* [[Flattone]][19] (enharmonic) 2 1 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1 2 1 (15\26, 1\1) | |||
* [[Orgone]][7] 5 5 2 5 2 5 2 (7\26, 1\1) | |||
* [[Orgone]][11] 3 2 3 2 2 3 2 2 3 2 2 (7\26, 1\1) | |||
* [[Orgone]][15] 2 1 2 2 1 2 2 2 1 2 2 2 1 2 2 (7\26, 1\1) | |||
* [[Lemba]][6] 5 5 3 5 5 3 (5\26, 1\2) | |||
* [[Lemba]][10] 3 2 3 2 3 3 2 3 2 3 (5\26, 1\2) | |||
* [[Lemba]][16] 2 1 2 2 1 2 2 1 2 1 2 2 1 2 2 1 (5\26, 1\2) | |||
==== Orgone temperament ==== | |||
[[Andrew Heathwaite]] first proposed [[Orgonia|orgone]] temperament to take advantage of 26edo's excellent 11 and 7 approximations. 7 degrees of 26edo is a wide minor third of approximately 323.077 cents, and that interval taken as a generator produces 7-tone and 11-tone MOS scales: | [[Andrew Heathwaite]] first proposed [[Orgonia|orgone]] temperament to take advantage of 26edo's excellent 11 and 7 approximations. 7 degrees of 26edo is a wide minor third of approximately 323.077 cents, and that interval taken as a generator produces 7-tone and 11-tone MOS scales: | ||
* The 7-tone scale in degrees-in-between: 5 2 5 2 5 2 5. [[MOSScales|MOS]] of type [[4L_3s|4L 3s (mish)]]. | * The 7-tone scale in degrees-in-between: 5 2 5 2 5 2 5. [[MOSScales|MOS]] of type [[4L_3s|4L 3s (mish)]]. | ||
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[[File:orgone_heptatonic.jpg|alt=orgone_heptatonic.jpg|orgone_heptatonic.jpg]] | [[File:orgone_heptatonic.jpg|alt=orgone_heptatonic.jpg|orgone_heptatonic.jpg]] | ||
=== Additional scalar bases available === | ==== Additional scalar bases available ==== | ||
Since the perfect 5th in 26edo spans 15 degrees, it can be divided into three equal parts (each approximately an 8/7) as well as five equal parts (each approximately a 13/12). | Since the perfect 5th in 26edo spans 15 degrees, it can be divided into three equal parts (each approximately an 8/7) as well as five equal parts (each approximately a 13/12). | ||
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* 8L+1s (3 3 3 3 3 3 3 3 2) | * 8L+1s (3 3 3 3 3 3 3 3 2) | ||
and is fairly well-supplied with 4:6:7:11:13 pentads. It also works well for more conventional (though further from Just) 6:7:9 triads, as well as 4:5:6 triads that use the worse mapping for 5 (making 5/4 the 415.38-cent interval). | and is fairly well-supplied with 4:6:7:11:13 pentads. It also works well for more conventional (though further from Just) 6:7:9 triads, as well as 4:5:6 triads that use the worse mapping for 5 (making 5/4 the 415.38-cent interval). | ||
== Instruments == | == Instruments == | ||