Families of scales: Difference between revisions
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**[[Subharmonic series|Aliquot scales (modes of the subharmonic series)]] / [[EDL|EDLs]] | **[[Subharmonic series|Aliquot scales (modes of the subharmonic series)]] / [[EDL|EDLs]] | ||
**[[Chord cubes]] | **[[Chord cubes]] | ||
**[[Crystal balls]] | |||
**[[Highschool scales]] | |||
**[[Homothetic just intonation|Homothetic JI scales]] | |||
**[[Tritriadic scale|Tritriadic scales]] | |||
**[[Combination product sets]] | **[[Combination product sets]] | ||
***[[Dekany|Dekanies]] | ***[[Dekany|Dekanies]] | ||
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***[[Pentadekany|Pentadekanies]] | ***[[Pentadekany|Pentadekanies]] | ||
***[[Pentany|Pentanies]] | ***[[Pentany|Pentanies]] | ||
**[[Overtone scale|Overtone scales (modes of the harmonic series)]] / [[AFDO|AFDOs]] | **[[Overtone scale|Overtone scales (modes of the harmonic series)]] / [[AFDO|AFDOs]] | ||
***Modes of the [[oddharmonic series]] | ***Modes of the [[oddharmonic series]] | ||
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***[[Neji|NEJI scales]] | ***[[Neji|NEJI scales]] | ||
***Modes of the [[triangulharmonic series]] | ***Modes of the [[triangulharmonic series]] | ||
**[[Tonality diamond|Tonality diamonds]] | **[[Tonality diamond|Tonality diamonds]] | ||
***[[Breed diamonds]] | ***[[Breed diamonds]] | ||
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*[[Temperament|Temperaments]] | *[[Temperament|Temperaments]] | ||
**[[Clippers]] | **[[Clippers]] | ||
**[[Elves]] | |||
**[[List of essentially tempered scales|Essentially tempered scales]] | |||
**[[Lesfip scales]] | |||
**[[Dwarves]] | **[[Dwarves]] | ||
***[[Especially tempered dwarves]] | ***[[Especially tempered dwarves]] | ||
***[[Marvelous dwarves]] | ***[[Marvelous dwarves]] | ||
**[[Hobbits]] | **[[Hobbits]] | ||
***[[MOS scale|Moment of symmetry scales]] | ***[[MOS scale|Moment of symmetry scales]] | ||
****[[MOS Cradle|MOS cradles]] | ****[[MOS Cradle|MOS cradles]] | ||
**[[ | **[[Well temperament|Well temperaments]] | ||
***[[Kartvelian scales]] | |||
**[[Regular temperament|Regular temperaments]] | **[[Regular temperament|Regular temperaments]] | ||
***[[Equal-step tuning|Rank-1 temperaments / Equal-step tunings]] | ***[[Rank-4 temperament|Rank-4 temperaments]] | ||
****[[Keenanismic temperaments]] | |||
****[[Werckismic temperaments]] | |||
****[[Swetismic temperaments]] | |||
****[[Lehmerismic temperaments]] | |||
****[[Kalismic temperaments]] | |||
*** [[Rank-3 temperament|Rank-3 temperaments]] | |||
**** Families defined by a 2.3.5 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
**** Families defined by a 2.3.7 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
**** Families defined by a 2.3.5.7 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
**** Temperament groups defined by an 11-limit comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
*** [[Rank-2 temperament|Rank-2 temperaments]] ([[Map of rank-2 temperaments|map]]) | |||
****[[Map of linear temperaments|Linear temperaments]] | |||
****[[Linear temperament|Moment of symmetry scales]] | |||
*****[[MOS Cradle|MOS cradles]] | |||
****Families defined by a 2.3 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
****Families defined by a 2.3.5 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
****Clans defined by a 2.3.7 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
****Clans defined by a 2.3.11 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
****Clans defined by a 2.3.13 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
****Clans defined by a 2.5.7 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
****Clans defined by a 3.5.7 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
****Temperament groups defined by a 2.3.5.7 comma | |||
*****''see [[Tour of regular temperaments]]'' | |||
*** [[Equal-step tuning|Rank-1 temperaments / Equal-step tunings]] | |||
****Equal divisions | ****Equal divisions | ||
*****[[EDO|Equal divisions of the octave (EDOs or ED2s)]] | *****[[EDO|Equal divisions of the octave (EDOs or ED2s)]] | ||
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*****[[The Riemann zeta function and tuning|Zeta-stretched equal divisions]] | *****[[The Riemann zeta function and tuning|Zeta-stretched equal divisions]] | ||
**** Equal multiplications | **** Equal multiplications | ||
***** [[Ambitonal sequence|Ambitonal sequences (AS) / Equal multiplications of a rational interval]] | *****[[Ambitonal sequence|Ambitonal sequences (AS) / Equal multiplications of a rational interval]] | ||
***** [[Arithmetic pitch sequence|Arithmetic pitch sequences (APS) / Equal multiplications of an irrational interval | *****[[Arithmetic pitch sequence|Arithmetic pitch sequences (APS) / Equal multiplications of an irrational interval]] | ||
=== Fokker blocks === | === Fokker blocks === | ||
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* [[Periodic scale|Periodic scales]] | * [[Periodic scale|Periodic scales]] | ||
**[[Generator-offset property|Generator-offset scales]] | **[[Generator-offset property|Generator-offset scales]] | ||
**[[Maximal harmony epimorphic scales]] | |||
**[[SN scale|Step-nested scales]] | |||
***[[Linear temperament|Moment of symmetry scales]] | |||
****[[MOS Cradle|MOS cradles]] | |||
**[[Harmonotonic tuning|Harmonotonic / step-monotonic tunings]] | **[[Harmonotonic tuning|Harmonotonic / step-monotonic tunings]] | ||
***[[Xenharmonic series]] | |||
****[[Ambitonal sequence|Ambitonal sequences (AS) / Equal multiplications of a rational interval]] | |||
****[[Subharmonic series|Aliquot scales (modes of the subharmonic series)]] / [[EDL|EDLs]] | |||
****[[Arithmetic pitch sequence|Arithmetic pitch sequences (APS) / Equal multiplications of an irrational interval]] | |||
****[[Powharmonic series]] | |||
****Modes of the [[prime harmonic series]] | |||
****[[Logharmonic series]] | |||
****Modes of the [[metallic harmonic series]] | |||
****Modes of the [[oddharmonic series]] | |||
****[[Powharmonic series|Subpowharmonic series]] | |||
****[[Logharmonic series|Sublogharmonic series]] | |||
****Modes of the [[triangulharmonic series]] | |||
***Non-arithmetic harmonotonic tunings | |||
****[[Powharmonic series]] | |||
****[[Logharmonic series]] | |||
****[[Powharmonic series|Subpowharmonic series]] | |||
****[[Logharmonic series|Sublogharmonic series]] | |||
***[[Arithmetic tuning|Arithmetic tunings]] | ***[[Arithmetic tuning|Arithmetic tunings]] | ||
****Equal frequency step tunings | ****Equal frequency step tunings | ||
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****Equal length step tunings | ****Equal length step tunings | ||
*****[[Subharmonic series|Aliquot scales (modes of the subharmonic series)]] / [[EDL|EDLs]] | *****[[Subharmonic series|Aliquot scales (modes of the subharmonic series)]] / [[EDL|EDLs]] | ||
=== Miscellaneous scale structures === | === Miscellaneous scale structures === | ||