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. | 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: | Examples of scale families include: | ||
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**[[Highschool scales]] | **[[Highschool scales]] | ||
**[[Homothetic just intonation|Homothetic JI scales]] | **[[Homothetic just intonation|Homothetic JI scales]] | ||
**[[Overtone scales]] | **[[Overtone scales|Overtone scales (AFDOs)]] | ||
***[[Primodality|Primodal scales]] | ***[[Primodality|Primodal scales]] | ||
**[[Tritriadic scale|Tritriadic scales]] | |||
**[[Tonality diamond|Tonality diamonds]] | **[[Tonality diamond|Tonality diamonds]] | ||
***[[Breed diamonds]] | ***[[Breed diamonds]] | ||
***[[Diaconv scales]] | ***[[Diaconv scales]] | ||
'''Temperament''' | '''Temperament''' | ||
*[[Temperament|Temperaments]] | *[[Temperament|Temperaments]] | ||
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*** [[Rank-3 temperament|Rank-3 temperaments]] | *** [[Rank-3 temperament|Rank-3 temperaments]] | ||
*** [[Rank-4 temperament|Rank-4 temperaments]] | *** [[Rank-4 temperament|Rank-4 temperaments]] | ||
'''Harmonotonicity''' | '''Harmonotonicity''' | ||
*[[Harmonotonic tuning|Harmonotonic tunings]] | *[[Harmonotonic tuning|Harmonotonic tunings]] | ||
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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)]] | ||
***[[Overtone scales]] | ***[[Overtone scales|Overtone scales (AFDOs)]] | ||
****[[Primodality|Primodal scales]] | ****[[Primodality|Primodal scales]] | ||
***[[Xenharmonic series]] | ***[[Xenharmonic series]] | ||
'''Miscellaneous | |||
'''Miscellaneous structures''' | |||
*[[Cartesian scale|Cartesian scales]] | *[[Cartesian scale|Cartesian scales]] | ||
*[[Compound scale|Compound scales]] | *[[Compound scale|Compound scales]] | ||
*[[Euler-Fokker genus|Euler-Fokker genera]] | *[[Euler-Fokker genus|Euler-Fokker genera]] | ||
*[[Fokker block| | *[[Fokker block|Fokker blocks]] | ||
**[[Gallery of wakalixes|Wakalixes]] | |||
*[[Generator-offset property|Generator-offset scales]] | |||
*[[Maximal harmony epimorphic scales]] | *[[Maximal harmony epimorphic scales]] | ||
*[[Omniconsonant scale|Omniconsonant scales]] | *[[Omniconsonant scale|Omniconsonant scales]] | ||
*[[Scale products and scale powers]] | *[[Scale products and scale powers]] | ||
*[[SN scale|Step-nested scales]] | |||
**[[Linear temperament|Moment of symmetry scales]] | |||
*[[Yantras]] | *[[Yantras]] | ||
Revision as of 10:48, 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
Miscellaneous structures