Families of scales: Difference between revisions
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**[[Lesfip scales]] | **[[Lesfip scales]] | ||
**[[Regular temperament|Regular temperaments]] | **[[Regular temperament|Regular temperaments]] | ||
*** [[Equal-step tuning|Rank-1 temperaments / Equal-step tunings]] | ***[[Equal-step tuning|Rank-1 temperaments / Equal-step tunings]] | ||
**** [[EDO|Equal divisions of the octave (EDOs or ED2s)]] | **** [[EDO|Equal divisions of the octave (EDOs or ED2s)]] | ||
**** [[EDT|Equal divisions of the third harmonic (EDTs or ED3s)]] | **** [[EDT|Equal divisions of the third harmonic (EDTs or ED3s)]] | ||
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**** [[Ed5/3|Equal divisions of the major sixth (ED5/3s)]] | **** [[Ed5/3|Equal divisions of the major sixth (ED5/3s)]] | ||
**** [[Ed5/4|Equal divisions of the major third (ED5/4s)]] | **** [[Ed5/4|Equal divisions of the major third (ED5/4s)]] | ||
*** [[Rank-2 temperament|Rank-2 temperaments]] | *** [[Rank-2 temperament|Rank-2 temperaments]] | ||
****[[Linear temperament|Linear temperaments]] | |||
****[[Linear temperament|Moment of symmetry scales]] | ****[[Linear temperament|Moment of symmetry scales]] | ||
*** [[Rank-3 temperament|Rank-3 temperaments]] | *** [[Rank-3 temperament|Rank-3 temperaments]] | ||
Revision as of 11:23, 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 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