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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.
| | 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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| Examples of scale families include:
| | == List of scale families == |
| | * [[Equal-step tuning]]s (including [[EDO]]s) |
| | * [[Moment of symmetry]] (MOS) scales |
| | * [[Generator-offset]] (GO) scales |
| | * [[Fokker block]]s |
| | * [[Euler-Fokker genus|Euler-Fokker genera]] |
| | * [[Cartesian scale]]s |
| | * [[Tonality diamond]]s |
| | * [[Breed diamonds]] |
| | * [[Diaconv scales]] |
| | * [[Scale products and scale powers]] |
| | * [[Combination product set]]s |
| | * [[Dwarves]] |
| | * [[Marvelous dwarves]] |
| | * [[Especially tempered dwarves]] |
| | * [[Elves]] |
| | * [[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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| '''Just Intonation'''
| | {{todo|inline=1|complete list|improve layout|comment=Maybe turn this list into a glossary with a short description below each scale family?}} |
| * [[Just intonation|Just intonated scales]]
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| **[[Chord cubes]]
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| **[[Combination product sets]]
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| ***[[Dekany|Dekanies]]
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| ***[[Eikosany|Eikosanies]]
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| ***[[Hexany|Hexanies]]
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| ***[[Pentadekany|Pentadekanies]]
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| **[[Crystal balls]]
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| **[[Highschool scales]]
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| **[[Homothetic just intonation|Homothetic JI scales]]
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| **[[Overtone scales|Overtone scales (AFDOs)]]
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| ***[[Primodality|Primodal scales]]
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| **[[Tritriadic scale|Tritriadic scales]]
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| **[[Tonality diamond|Tonality diamonds]]
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| ***[[Breed diamonds]]
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| ***[[Diaconv scales]]
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| '''Temperament'''
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| *[[Temperament|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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| **[[List of essentially tempered scales|Essentially tempered scales]]
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| **[[Hobbits]]
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| ***[[MOS scale|Moment of symmetry scales]]
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| **[[Lesfip scales]]
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| **[[Regular temperament|Regular temperaments]]
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| *** [[Equal-step tuning|Rank-1 temperaments / Equal-step tunings]]
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| **** [[EDO|Equal divisions of the octave (EDOs or ED2s)]]
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| **** [[EDT|Equal divisions of the third harmonic (EDTs or ED3s)]]
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| **** [[Ed4|Equal divisions of the fourth harmonic (ED4s)]]
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| **** [[Ed5|Equal divisions of the fifth harmonic (ED5s)]]
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| **** [[Ed6|Equal divisions of the sixth harmonic (ED6s)]]
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| **** [[Ed7|Equal divisions of the seventh harmonic (ED7s)]]
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| **** [[Ed8|Equal divisions of the eighth harmonic (ED8s)]]
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| **** [[Ed9|Equal divisions of the ninth harmonic (ED9s)]]
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| **** [[Ed10|Equal divisions of the tenth harmonic (ED10s)]]
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| **** [[Ed11|Equal divisions of the eleventh harmonic (ED11s)]]
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| **** [[Ed3/2|Equal divisions of the perfect fifth (ED3/2s)]]
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| **** [[Ed4/3|Equal divisions of the perfect fourth (ED4/3s)]]
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| **** [[Ed5/3|Equal divisions of the major sixth (ED5/3s)]]
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| **** [[Ed5/4|Equal divisions of the major third (ED5/4s)]]
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| *** [[Rank-2 temperament|Rank-2 temperaments]] / [[Linear temperament|Linear temperaments]]
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| ****[[Linear temperament|Moment of symmetry scales]]
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| *** [[Rank-3 temperament|Rank-3 temperaments]]
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| *** [[Rank-4 temperament|Rank-4 temperaments]]
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| '''Harmonotonicity'''
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| *[[Harmonotonic tuning|Harmonotonic tunings]]
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| **[[Arithmetic tuning|Arithmetic tunings]]
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| ***[[Equal-step tuning|Equal-step tunings]]
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| ****[[EDO|Equal divisions of the octave (EDOs)]]
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| **** [[EDT|Equal divisions of the third harmonic (EDTs or ED3s)]]
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| **** [[Ed4|Equal divisions of the fourth harmonic (ED4s)]]
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| **** [[Ed5|Equal divisions of the fifth harmonic (ED5s)]]
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| **** [[Ed6|Equal divisions of the sixth harmonic (ED6s)]]
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| **** [[Ed7|Equal divisions of the seventh harmonic (ED7s)]]
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| **** [[Ed8|Equal divisions of the eighth harmonic (ED8s)]]
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| **** [[Ed9|Equal divisions of the ninth harmonic (ED9s)]]
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| **** [[Ed10|Equal divisions of the tenth harmonic (ED10s)]]
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| **** [[Ed11|Equal divisions of the eleventh harmonic (ED11s)]]
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| **** [[Ed3/2|Equal divisions of the perfect fifth (ED3/2s)]]
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| **** [[Ed4/3|Equal divisions of the perfect fourth (ED4/3s)]]
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| **** [[Ed5/3|Equal divisions of the major sixth (ED5/3s)]]
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| **** [[Ed5/4|Equal divisions of the major third (ED5/4s)]]
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| ***[[Overtone scales|Overtone scales (AFDOs)]]
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| ****[[Primodality|Primodal scales]]
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| ***[[Xenharmonic series]]
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| '''Miscellaneous structures'''
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| *[[Cartesian scale|Cartesian scales]]
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| *[[Compound scale|Compound scales]]
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| *[[Euler-Fokker genus|Euler-Fokker genera]]
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| *[[Fokker block|Fokker blocks]]
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| **[[Gallery of wakalixes|Wakalixes]]
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| *[[Generator-offset property|Generator-offset scales]]
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| *[[Maximal harmony epimorphic scales]]
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| *[[Omniconsonant scale|Omniconsonant scales]]
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| *[[Scale products and scale powers]]
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| *[[SN scale|Step-nested scales]]
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| **[[Linear temperament|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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