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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 certain set of scales, finite or infinite, generated according to a regular and exactly specified method. Examples of scale families are [[EDO]]<nowiki/>s, [https://en.xen.wiki/w/Equal-step_tuning equal-step tunings], [[MOSScales|MOS]], and [[Fokker blocks]]. Below are some further scale families. |
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| === Just Intonation === | | ===[[Fokker block]]s=== |
| * Just intonated scales
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| **Chord cubes
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| **Combination product sets
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| ***Dekanies
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| ***Eikosanies
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| ***Hexanies
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| ***Pentadekanies
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| **Crystal balls
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| **Highschool scales
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| **Homothetic JI scales
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| **Overtone scales (AFDOs)
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| ***Primodal scales
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| **Tritriadic scales
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| **Tonality diamonds
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| ***Breed diamonds
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| ***Diaconv scales
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| === Temperament === | | ===[[Euler-Fokker genus|Euler-Fokker genera]]=== |
| *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 === | | ===[[Cartesian scale]]s=== |
| *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 === | | ===[[Tonality diamond]]s=== |
| *Cartesian scales
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| *Compound scales
| | ===[[Breed diamonds]]=== |
| *Euler-Fokker genera
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| *Fokker blocks
| | ===[[Diaconv scales]]=== |
| **Wakalixes
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| *Generator-offset scales
| | ===[[Scale products and scale powers]]=== |
| *Maximal harmony epimorphic scales
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| *Omniconsonant scales
| | ===[[Combination product sets]]=== |
| *Scale products and scale powers
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| *Step-nested scales
| | ===[[Dwarves]]=== |
| **Moment of symmetry scales
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| *Yantras
| | ===[[Marvelous dwarves]]=== |
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| | ===[[Especially tempered dwarves]]=== |
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| | ===[[Elves]]=== |
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| | ===[[Hobbits]]=== |
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| | ===[[Clippers]]=== |
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| | ===[[Maximal harmony epimorphic scales]]=== |
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| | ===[[Lesfip scales]]=== |
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| | ===[[Highschool scales]]=== |
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| | ===[[Crystal balls]]=== |
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| | ===[[Chord cubes]]=== |
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| | ===[[List of essentially tempered scales|Essentially tempered scales]]=== |
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| | ===[[Yantras]]=== |
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| | ===[[Overtone scales]]=== |
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| | {{todo|inline=1|rework|review heading structure|improve layout|improve synopsis}} |
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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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