1803edo: Difference between revisions
added new ways to compose in 1803edo, also I composed this way in my 293edo piece "whiplash" |
→Theory: amazing how last time I corrected it from not even wrong to wrong |
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== Theory == | == Theory == | ||
{{harmonics in equal|1803|columns=10}} | {{harmonics in equal|1803|columns=10}} | ||
In the 2.19.23.29 subgroup, 1803edo tempers out 2476099/2475904, and supports the corresponding rank-3 temperament eliminating this comma. In the 13-limit, 1803edo tempers out 2080/2079 and 4225/4224. In the 7-limit, it tempers out 420175/419904. | In the 2.19.23.29 subgroup, 1803edo tempers out 2476099/2475904, and supports the corresponding rank-3 temperament eliminating this comma. In the 13-limit, 1803edo tempers out 2080/2079 and 4225/4224. In the 7-limit, it tempers out 420175/419904. | ||
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Hectosaros Lunisolar is defined as 664 & 1803 and is generated by 1078\1803 interval measuring about 717 cents, which puts it in the far ultrapyth range, close to the sharp fifth of [[5edo]]. A simple scale would be an almost equipentatonic scale which results in very hard diatonic scale. | Hectosaros Lunisolar is defined as 664 & 1803 and is generated by 1078\1803 interval measuring about 717 cents, which puts it in the far ultrapyth range, close to the sharp fifth of [[5edo]]. A simple scale would be an almost equipentatonic scale which results in very hard diatonic scale. | ||
The next scale which has a suitable hardness is the 92-note 5L 87s scale, with step sizes of 30 and 19. It can be dissected into 372-353-372-353-353 (darkest mode). In real life, 19 years corresponds to the Metonic cycle, and 353 years corresponds to the Rectified Hebrew cycle (not to be confused with the [[Rectified Hebrew|eponymous temperament]], which only makes sense in [[353edo]] and other EDOs that support it). | The next scale which has a suitable hardness is the 92-note 5L 87s scale, with step sizes of 30 and 19. It can be dissected into 372-353-372-353-353 (darkest mode). In real life, 19 years corresponds to the Metonic cycle, and 353 years corresponds to the Rectified Hebrew cycle (not to be confused with the [[Rectified Hebrew|eponymous temperament]], which only makes sense in [[353edo]] and other EDOs that support it). | ||
== Regular temperament properties == | == Regular temperament properties == | ||