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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:
| | A '''family of scales''' is a collection of scales, finite or infinite, generated according to a regular and exactly specified method. |
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| === Just Intonation === | | == List of scale families == |
| * Just intonated scales | | * [[Equal-step tuning]]s (including [[EDO]]s) |
| **Chord cubes | | * [[Moment of symmetry]] (MOS) scales |
| **Combination product sets | | * [[Generator-offset]] (GO) scales |
| ***Dekanies | | * [[Fokker block]]s |
| ***Eikosanies | | * [[Euler-Fokker genus|Euler-Fokker genera]] |
| ***Hexanies | | * [[Cartesian scale]]s |
| ***Pentadekanies | | * [[Tonality diamond]]s |
| **Crystal balls | | * [[Breed diamonds]] |
| **Highschool scales | | * [[Diaconv scales]] |
| **Homothetic JI scales | | * [[Scale products and scale powers]] |
| **Overtone scales (AFDOs) | | * [[Combination product set]]s |
| ***Primodal scales | | * [[Dwarves]] |
| **Tritriadic scales
| | * [[Marvelous dwarves]] |
| **Tonality diamonds | | * [[Especially tempered dwarves]] |
| ***Breed diamonds | | * [[Elves]] |
| ***Diaconv scales
| | * [[Hobbits]] |
| | * [[Clippers]] |
| | * [[Maximal harmony epimorphic scales]] |
| | * [[Lesfip scales]] |
| | * [[Highschool scales]] |
| | * [[Crystal balls]] |
| | * [[Chord cubes]] |
| | * [[List of essentially tempered scales|Essentially tempered scales]] |
| | * [[Yantras]] |
| | * [[Overtone scales]] |
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| === Temperament === | | {{todo|inline=1|complete list|improve layout|comment=Maybe turn this list into a glossary with a short description below each scale family?}} |
| *Temperaments
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| **Clippers
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| **Dwarves
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| ***Especially tempered dwarves
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| ***Marvelous dwarves
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| **Elves
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| **Essentially tempered scales
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| **Hobbits
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| ***Moment of symmetry scales
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| **Lesfip scales
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| **Regular temperaments
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| *** Rank-1 temperaments / Equal-step tunings
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| **** Equal divisions of the octave (EDOs or ED2s)
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| **** Equal divisions of the third harmonic (EDTs or ED3s)
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| **** Equal divisions of the fourth harmonic (ED4s)
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| **** Equal divisions of the fifth harmonic (ED5s)
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| **** Equal divisions of the sixth harmonic (ED6s)
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| **** Equal divisions of the seventh harmonic (ED7s)
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| **** Equal divisions of the eighth harmonic (ED8s)
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| **** Equal divisions of the ninth harmonic (ED9s)
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| **** Equal divisions of the tenth harmonic (ED10s)
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| **** Equal divisions of the eleventh harmonic (ED11s)
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| **** Equal divisions of the perfect fifth (ED3/2s)
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| **** Equal divisions of the perfect fourth (ED4/3s)
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| **** Equal divisions of the major sixth (ED5/3s)
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| **** Equal divisions of the major third (ED5/4s)
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| *** Rank-2 temperaments / Linear temperaments
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| ****Moment of symmetry scales
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| *** Rank-3 temperaments
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| *** Rank-4 temperaments
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| === Harmonotonicity ===
| | {{Navbox scale gallery}} |
| *Harmonotonic tunings
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| **Arithmetic tunings
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| ***Equal-step tunings
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| ****Equal divisions of the octave (EDOs)
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| **** Equal divisions of the third harmonic (EDTs or ED3s)
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| **** Equal divisions of the fourth harmonic (ED4s)
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| **** Equal divisions of the fifth harmonic (ED5s)
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| **** Equal divisions of the sixth harmonic (ED6s)
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| **** Equal divisions of the seventh harmonic (ED7s)
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| **** Equal divisions of the eighth harmonic (ED8s)
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| **** Equal divisions of the ninth harmonic (ED9s)
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| **** Equal divisions of the tenth harmonic (ED10s)
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| **** Equal divisions of the eleventh harmonic (ED11s)
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| **** Equal divisions of the perfect fifth (ED3/2s)
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| **** Equal divisions of the perfect fourth (ED4/3s)
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| **** Equal divisions of the major sixth (ED5/3s)
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| **** Equal divisions of the major third (ED5/4s)
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| ***Overtone scales (AFDOs)
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| ****Primodal scales
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| ***Xenharmonic series
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| === Miscellaneous structures ===
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| *Cartesian scales
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| *Compound scales
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| *Euler-Fokker genera
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| *Fokker blocks
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| **Wakalixes
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| *Generator-offset scales
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| *Maximal harmony epimorphic scales
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| *Omniconsonant scales
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| *Scale products and scale powers
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| *Step-nested scales
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| **Moment of symmetry scales
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| *Yantras
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| [[Category:Scales by family| ]] <!-- main article --> | | [[Category:Scales by family| ]] <!-- main article --> |
| [[Category:Lists of scales]] | | [[Category:Lists of scales]] |
| [[category:todo:expand]]
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