Families of scales: Difference between revisions
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=== Harmonotonic scales === | === Harmonotonic scales === | ||
*[[Harmonotonic tuning|Harmonotonic tunings]] | *[[Harmonotonic tuning|Harmonotonic / step-monotonic tunings]] | ||
**[[Arithmetic tuning|Arithmetic tunings]] | **[[Arithmetic tuning|Arithmetic tunings]] | ||
***Equal frequency step tunings | ***Equal frequency step tunings | ||
Revision as of 23:56, 15 April 2023
By a family of scales is meant a certain set of scales, finite or infinite, generated according to a regular and exactly specified method. Examples of scale families include:
Just intonation scales
Temperaments
- Temperaments
- Clippers
- Dwarves
- Elves
- Essentially tempered scales
- Hobbits
- Lesfip scales
- Regular temperaments
- Rank-1 temperaments / Equal-step tunings
- Equal divisions of the octave (EDOs or ED2s)
- Equal divisions of the third harmonic (EDTs or ED3s)
- Equal divisions of the fourth harmonic (ED4s)
- Equal divisions of the fifth harmonic (ED5s)
- Equal divisions of the sixth harmonic (ED6s)
- Equal divisions of the seventh harmonic (ED7s)
- Equal divisions of the eighth harmonic (ED8s)
- Equal divisions of the ninth harmonic (ED9s)
- Equal divisions of the tenth harmonic (ED10s)
- Equal divisions of the eleventh harmonic (ED11s)
- Equal divisions of the perfect fifth (ED3/2s)
- Equal divisions of the perfect fourth (ED4/3s)
- Equal divisions of the major sixth (ED5/3s)
- Equal divisions of the major third (ED5/4s)
- Rank-2 temperaments
- Rank-3 temperaments
- Rank-4 temperaments
- Rank-1 temperaments / Equal-step tunings
- Well temperaments
Harmonotonic scales
- Harmonotonic / step-monotonic tunings
- Arithmetic tunings
- Equal frequency step tunings
- Equal pitch step tunings
- Equal-step tunings
- Equal divisions of the octave (EDOs)
- Equal divisions of the third harmonic (EDTs or ED3s)
- Equal divisions of the fourth harmonic (ED4s)
- Equal divisions of the fifth harmonic (ED5s)
- Equal divisions of the sixth harmonic (ED6s)
- Equal divisions of the seventh harmonic (ED7s)
- Equal divisions of the eighth harmonic (ED8s)
- Equal divisions of the ninth harmonic (ED9s)
- Equal divisions of the tenth harmonic (ED10s)
- Equal divisions of the eleventh harmonic (ED11s)
- Equal divisions of the perfect fifth (ED3/2s)
- Equal divisions of the perfect fourth (ED4/3s)
- Equal divisions of the major sixth (ED5/3s)
- Equal divisions of the major third (ED5/4s)
- Equal-step tunings
- Equal length step tunings
- Xenharmonic series
- Arithmetic tunings