|
|
| (61 intermediate revisions by one other user not shown) |
| Line 1: |
Line 1: |
| 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 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. |
|
| |
|
| Examples of scale families include:
| | ===[[Fokker block]]s=== |
|
| |
|
| '''Just Intonation'''
| | ===[[Euler-Fokker genus|Euler-Fokker genera]]=== |
| * [[Just intonation|Just intonated scales]]
| |
| **[[Chord cubes]]
| |
| **[[Combination product sets]]
| |
| ***[[Dekany|Dekanies]]
| |
| ***[[Eikosany|Eikosanies]]
| |
| ***[[Hexany|Hexanies]]
| |
| ***[[Pentadekany|Pentadekanies]]
| |
| **[[Crystal balls]]
| |
| **[[Highschool scales]]
| |
| **[[Homothetic just intonation|Homothetic JI scales]]
| |
| **[[Overtone scales|Overtone scales (AFDOs)]]
| |
| ***[[Primodality|Primodal scales]]
| |
| **[[Tritriadic scale|Tritriadic scales]]
| |
| **[[Tonality diamond|Tonality diamonds]]
| |
| ***[[Breed diamonds]]
| |
| ***[[Diaconv scales]]
| |
| '''Temperament'''
| |
| *[[Temperament|Temperaments]]
| |
| **[[Clippers]]
| |
| **[[Dwarves]]
| |
| ***[[Especially tempered dwarves]]
| |
| ***[[Marvelous dwarves]]
| |
| **[[Elves]]
| |
| **[[List of essentially tempered scales|Essentially tempered scales]]
| |
| **[[Hobbits]]
| |
| ***[[MOS scale|Moment of symmetry scales]]
| |
| **[[Lesfip scales]]
| |
| **[[Regular temperament|Regular temperaments]]
| |
| *** [[Equal-step tuning|Rank-1 temperaments / Equal-step tunings]]
| |
| **** [[EDO|Equal divisions of the octave (EDOs or ED2s)]]
| |
| **** [[EDT|Equal divisions of the third harmonic (EDTs or ED3s)]]
| |
| **** [[Ed4|Equal divisions of the fourth harmonic (ED4s)]]
| |
| **** [[Ed5|Equal divisions of the fifth harmonic (ED5s)]]
| |
| **** [[Ed6|Equal divisions of the sixth harmonic (ED6s)]]
| |
| **** [[Ed7|Equal divisions of the seventh harmonic (ED7s)]]
| |
| **** [[Ed8|Equal divisions of the eighth harmonic (ED8s)]]
| |
| **** [[Ed9|Equal divisions of the ninth harmonic (ED9s)]]
| |
| **** [[Ed10|Equal divisions of the tenth harmonic (ED10s)]]
| |
| **** [[Ed11|Equal divisions of the eleventh harmonic (ED11s)]]
| |
| **** [[Ed3/2|Equal divisions of the perfect fifth (ED3/2s)]]
| |
| **** [[Ed4/3|Equal divisions of the perfect fourth (ED4/3s)]]
| |
| **** [[Ed5/3|Equal divisions of the major sixth (ED5/3s)]]
| |
| **** [[Ed5/4|Equal divisions of the major third (ED5/4s)]]
| |
| *** [[Rank-2 temperament|Rank-2 temperaments]] / [[Linear temperament|Linear temperaments]]
| |
| ****[[Linear temperament|Moment of symmetry scales]]
| |
| *** [[Rank-3 temperament|Rank-3 temperaments]]
| |
| *** [[Rank-4 temperament|Rank-4 temperaments]]
| |
| '''Harmonotonicity'''
| |
| *[[Harmonotonic tuning|Harmonotonic tunings]]
| |
| **[[Arithmetic tuning|Arithmetic tunings]]
| |
| ***[[Equal-step tuning|Equal-step tunings]]
| |
| ****[[EDO|Equal divisions of the octave (EDOs)]]
| |
| **** [[EDT|Equal divisions of the third harmonic (EDTs or ED3s)]]
| |
| **** [[Ed4|Equal divisions of the fourth harmonic (ED4s)]]
| |
| **** [[Ed5|Equal divisions of the fifth harmonic (ED5s)]]
| |
| **** [[Ed6|Equal divisions of the sixth harmonic (ED6s)]]
| |
| **** [[Ed7|Equal divisions of the seventh harmonic (ED7s)]]
| |
| **** [[Ed8|Equal divisions of the eighth harmonic (ED8s)]]
| |
| **** [[Ed9|Equal divisions of the ninth harmonic (ED9s)]]
| |
| **** [[Ed10|Equal divisions of the tenth harmonic (ED10s)]]
| |
| **** [[Ed11|Equal divisions of the eleventh harmonic (ED11s)]]
| |
| **** [[Ed3/2|Equal divisions of the perfect fifth (ED3/2s)]]
| |
| **** [[Ed4/3|Equal divisions of the perfect fourth (ED4/3s)]]
| |
| **** [[Ed5/3|Equal divisions of the major sixth (ED5/3s)]]
| |
| **** [[Ed5/4|Equal divisions of the major third (ED5/4s)]]
| |
| ***[[Overtone scales|Overtone scales (AFDOs)]]
| |
| ****[[Primodality|Primodal scales]]
| |
| ***[[Xenharmonic series]]
| |
|
| |
|
| | ===[[Cartesian scale]]s=== |
|
| |
|
| '''Miscellaneous structures'''
| | ===[[Tonality diamond]]s=== |
| *[[Cartesian scale|Cartesian scales]]
| | |
| *[[Compound scale|Compound scales]]
| | ===[[Breed diamonds]]=== |
| *[[Euler-Fokker genus|Euler-Fokker genera]]
| | |
| *[[Fokker block|Fokker blocks]]
| | ===[[Diaconv scales]]=== |
| **[[Gallery of wakalixes|Wakalixes]]
| | |
| *[[Generator-offset property|Generator-offset scales]]
| | ===[[Scale products and scale powers]]=== |
| *[[Maximal harmony epimorphic scales]]
| | |
| *[[Omniconsonant scale|Omniconsonant scales]]
| | ===[[Combination product sets]]=== |
| *[[Scale products and scale powers]]
| | |
| *[[SN scale|Step-nested scales]]
| | ===[[Dwarves]]=== |
| **[[Linear temperament|Moment of symmetry scales]]
| | |
| *[[Yantras]]
| | ===[[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]]=== |
| | |
| | |
| | {{todo|inline=1|rework|review heading structure|improve layout|improve synopsis}} |
|
| |
|
| [[Category:Scales by family| ]] <!-- main article --> | | [[Category:Scales by family| ]] <!-- main article --> |
| [[Category:Lists of scales]] | | [[Category:Lists of scales]] |
| [[category:todo:expand]]
| |
