Families of scales: Difference between revisions
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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: | 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 === | ||
* [[Just intonation|Just intonated scales]] | * [[Just intonation|Just intonated scales]] | ||
**[[Chord cubes]] | **[[Chord cubes]] | ||
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***[[Diaconv scales]] | ***[[Diaconv scales]] | ||
=== | === Temperament === | ||
*[[Temperament|Temperaments]] | *[[Temperament|Temperaments]] | ||
**[[Clippers]] | **[[Clippers]] | ||
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*** [[Rank-4 temperament|Rank-4 temperaments]] | *** [[Rank-4 temperament|Rank-4 temperaments]] | ||
=== | === Harmonotonicity === | ||
*[[Harmonotonic tuning|Harmonotonic tunings]] | *[[Harmonotonic tuning|Harmonotonic tunings]] | ||
**[[Arithmetic tuning|Arithmetic tunings]] | **[[Arithmetic tuning|Arithmetic tunings]] | ||
| Line 73: | Line 73: | ||
***[[Xenharmonic series]] | ***[[Xenharmonic series]] | ||
=== | === Miscellaneous structures === | ||
*[[Cartesian scale|Cartesian scales]] | *[[Cartesian scale|Cartesian scales]] | ||
*[[Compound scale|Compound scales]] | *[[Compound scale|Compound scales]] | ||
Revision as of 10:53, 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
Temperament
- 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 / Linear temperaments
- Rank-3 temperaments
- Rank-4 temperaments
- Rank-1 temperaments / Equal-step tunings
Harmonotonicity
- Harmonotonic tunings
- Arithmetic 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)
- Overtone scales (AFDOs)
- Xenharmonic series
- Equal-step tunings
- Arithmetic tunings