11edo: Difference between revisions
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Compared to 12edo, the intervals of 11edo are stretched: | Compared to 12edo, the intervals of 11edo are stretched: | ||
<ul><li>The "minor second," at 109.09 cents, functions melodically and harmonically very much like the 100-cent minor second of 12edo.</li><li>The "major second," at 218.18 cents, works in a similar fashion to the 200-cent major second of 12edo, but as a major ninth, it may sound less | <ul><li>The "minor second," at 109.09 cents, functions melodically and harmonically very much like the 100-cent minor second of 12edo.</li><li>The "major second," at 218.18 cents, works in a similar fashion to the 200-cent major second of 12edo, but as a major ninth, it may sound less harmonious. Its inversion, at 981.82 cents, can function as a "bluesy" seventh relative to 12edo's 1000-cent interval, although it is still about 13 cents away from 7/4.</li><li>The "minor third," at 327.27 cents, is rather sharp and encroaching upon "neutral third."</li><li>The "major third," at 436.36 cents, is quite sharp, and closer to the supermajor third of frequency ratio 9/7 than the simpler third of 5/4.</li><li>The "perfect fourth," at 545.45 cents, does not sound like a perfect fourth at all, and passes more easily as the 11/8 superfourth than the simpler perfect fourth of 4/3.</li></ul>11edo provides the same tuning on the [[k*N_subgroups|2*11 subgroup]] 2.9.15.7.11 as does 22edo, and on this subgroup it tempers out the same commas as 22. Also on this subgroup there is an approximation of the 8:9:11:14:15:16 chord and its subchords. Though the error is rather large, this does provide 11 with a variety of chords approximating JI chords. | ||
==Notation== | ==Notation== | ||
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[[File:Screen Shot 2020-04-23 at 11.33.44 PM.png|none|thumb|995x995px]] | [[File:Screen Shot 2020-04-23 at 11.33.44 PM.png|none|thumb|995x995px]] | ||
See [[11edo_Modes|11edo Modes]] | See [[11edo_Modes|11edo Modes]] | ||
==Instruments== | ==Instruments== | ||
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* [http://soundcloud.com/vaisvil/the-execution-of-12-equal The Execution of 12 Equal] by Chris Vaisvil | * [http://soundcloud.com/vaisvil/the-execution-of-12-equal The Execution of 12 Equal] by Chris Vaisvil | ||
* [https://www.youtube.com/watch?v=VjJgk9r_A_M Longwayaway People] by [[Sevish]] | * [https://www.youtube.com/watch?v=VjJgk9r_A_M Longwayaway People] by [[Sevish]] | ||
==Videos== | ==Videos== | ||