Rodan: Difference between revisions

Interval chain: + some ratios
Interval chain: + as a detemperament
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<nowiki/>* In 13-limit CWE tuning, octave reduced
<nowiki/>* In 13-limit CWE tuning, octave reduced
[[File: Rodan 5et Detempering.png|thumb|Rodan as a 46-tone 5et detempering]]
== As a detemperament of 5et ==
Rodan is naturally a [[detemperament]] of the [[5edo|5 equal temperament]]. The diagram on the right shows a 46-tone detempered scale, with a generator range of -22 to +23. 46 is the largest number of tones for a mos where intervals in the 5 categories do not overlap. Each category is divided into eight or nine qualities separated by 5 generator steps, which represent the syntonic comma.
Notice also the little interval between the largest of a category and the smallest of the next, which represents the differences between 16/15 and 14/13, between 11/9 and 16/13, between 7/5 and 45/32, between 13/8 and 18/11, and between 13/7 and 15/8. It spans 41 generator steps, so it vanishes in 41edo, but is tuned to the same size as the syntonic comma in 46edo. 87edo tunes it to one half the size of the syntonic comma, which may be seen as a good compromise.


== Notation ==
== Notation ==