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| https://www.facebook.com/budjarnlambeth/ | | https://www.facebook.com/budjarnlambeth/ |
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| === Families of scales === | | === My favourite scales === |
| This is a personal tool to help me navigate the wiki.
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| ==== Just intonation scales ==== | | ====21edo==== |
| * [[Just intonation|Just intonation scales]]
| |
| **Aliquot scales / [[5- to 8-tone scales from the modes of the subharmonic series|modes of the subharmonic series]] / [[EDL|EDLs]] / [[IFDO|IFDOs]]
| |
| **[[Chord cubes]]
| |
| **[[Crystal balls]]
| |
| **[[Highschool scales]]
| |
| **[[Homothetic just intonation|Homothetic JI scales]]
| |
| **[[Tritriadic scale|Tritriadic scales]]
| |
| **[[Tonality diamond|Tonality diamonds]]
| |
| ***[[Breed diamonds]]
| |
| ***[[Diaconv scales]]
| |
| **[[Combination product sets]]
| |
| ***[[Dekany|Dekanies]]
| |
| ***[[Eikosany|Eikosanies]]
| |
| ***[[Hexany|Hexanies]]
| |
| ***[[Pentadekany|Pentadekanies]]
| |
| ***[[Pentany|Pentanies]]
| |
| **[[Overtone scale|Overtone scales]] / [[5- to 8-tone scales from the modes of the harmonic series|modes of the harmonic series]] / [[AFDO|AFDOs]]
| |
| ***Modes of the [[oddharmonic series]]
| |
| ***Modes of the [[prime harmonic series]]
| |
| ***[[Primodality|Primodal scales]]
| |
| ***[[Neji|NEJI scales]]
| |
| ***Modes of the [[triangulharmonic series]]
| |
|
| |
|
| ==== Tempered scales ====
| |
| *[[Temperament|Tempered scales]]
| |
| **[[Clippers]]
| |
| **[[Elves]]
| |
| **[[List of essentially tempered scales|Essentially tempered scales]]
| |
| **[[Lesfip scales]]
| |
| **Scales produced by [[Well temperament|well temperaments]]
| |
| ***[[Kartvelian scales]]
| |
| **[[Dwarves]]
| |
| ***[[Especially tempered dwarves]]
| |
| ***[[Marvelous dwarves]]
| |
| **[[Hobbits]]
| |
| ***[[MOS scale|Moment of symmetry scales]]
| |
| ****[[MOS Cradle|MOS cradles]]
| |
| **Scales produced by [[Regular temperament|regular temperaments]]
| |
| ***Scales produced by [[Rank-4 temperament|rank-4 temperaments]]
| |
| ****Scales produced by [[Keenanismic temperaments]]
| |
| ****Scales produced by [[Werckismic temperaments]]
| |
| ****Scales produced by [[Swetismic temperaments]]
| |
| ****Scales produced by [[Lehmerismic temperaments]]
| |
| ****Scales produced by [[Kalismic temperaments]]
| |
| *** Scales produced by [[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]]''
| |
| *** Scales produced by [[Rank-2 temperament|rank-2 temperaments]] ([[Map of rank-2 temperaments|map]])
| |
| ****Scales produced by [[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]]''
| |
| *** Scales produced by [[Equal-step tuning|rank-1 temperaments / Equal-step tunings]]
| |
| ****Equal multiplications
| |
| *****[[Ambitonal sequence|Ambitonal sequences (AS) / Equal multiplications of a rational interval]]
| |
| *****[[Arithmetic pitch sequence|Arithmetic pitch sequences (APS) / Equal multiplications of an irrational interval]]
| |
| ****Equal divisions
| |
| *****[[EDO|Equal divisions of the octave (EDOs or ED2s)]]
| |
| *****[[The Riemann zeta function and tuning|Zeta-stretched equal divisions]]
| |
| *****[[Edonoi|Edonois]]
| |
| ******[[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)]]
| |
| ******[[:Category:Edonoi|...]]
| |
| ******[[Ed3/2|Equal divisions of the perfect fifth (EDFs or 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)]]
| |
| ******[[:Category:Edonoi|...]]
| |
| ******[[Ed5/2|Equal divisions of 5/2 (EDXs or ED5/2s)]]
| |
| ******[[Ed7/2|Equal divisions of 7/2 (ED7/2s)]]
| |
| ******[[:Category:Edonoi|...]]
| |
| ******[[Ed7/3|Equal divisions of 7/3 (ED7/3s)]]
| |
| ******[[Ed8/3|Equal divisions of 8/3 (ED8/3s)]]
| |
| ******[[Ed10/3|Equal divisions of 10/3 (ED10/3s)]]
| |
| ******[[:Category:Edonoi|...]]
| |
| ******[[Ed9/4|Equal divisions of 9/4 (EDIXs or ED9/4s)]]
| |
| ******[[Ed11/5|Equal divisions of 11/5 (ED11/5s)]]
| |
| ******[[Edφ|Equal divisions of Phi (Edφs)]]
| |
| ******[[CET|''n''-cent equal tunings (''n''-cETs)]]
| |
|
| |
|
| ==== Fokker blocks ====
| | Pelog Lima |
|
| |
|
| * [[Fokker block|Fokker blocks]]
| | 114.286 |
| **[[Linear temperament|Moment of symmetry scales]]
| |
| ***[[MOS Cradle|MOS cradles]]
| |
| **[[Gallery of wakalixes|Superwakalixes]]
| |
| **[[Gallery of wakalixes|Wakalixes]]
| |
| ***r-wakalixes
| |
| ****Triple wakalixes
| |
| ****Quadruple wakalixes
| |
| ****Pentuple wakalixes
| |
| ****...
| |
|
| |
|
| ==== Metascales ====
| | 285.714 |
| * [[Metascales]]
| |
| **[[Compound scale|Compound scales]]
| |
| ** [[Scale products and scale powers]]
| |
| ** [[MOS Cradle|MOS cradles]]
| |
| ** [[Muddle|MOS muddles]]
| |
| ** [[Polymicrotonality|Polysystemic scales / Polymicrotonal scales]]
| |
|
| |
|
| ==== Periodic scales ====
| | 685.714 |
| * [[Periodic scale|Periodic 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]]
| |
| ***[[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]]
| |
| ****Equal length step tunings
| |
| *****Aliquot scales / [[5- to 8-tone scales from the modes of the subharmonic series|modes of the subharmonic series]] / [[EDL|EDLs]] / [[IFDO|IFDOs]]
| |
| ****Equal frequency step tunings
| |
| *****[[Overtone scale|Overtone scales]] / [[5- to 8-tone scales from the modes of the harmonic series|modes of the harmonic series]] / [[AFDO|AFDOs]]
| |
| ******Modes of the [[oddharmonic series]]
| |
| ******Modes of the [[prime harmonic series]]
| |
| ******[[Primodality|Primodal scales]]
| |
| ******[[Neji|NEJI scales]]
| |
| ******Modes of the [[triangulharmonic series]]
| |
| ****Equal pitch step tunings
| |
| *****[[Equal-step tuning|Rank-1 temperaments / Equal-step tunings]]
| |
| ******Equal multiplications
| |
| *******[[Ambitonal sequence|Ambitonal sequences (AS) / Equal multiplications of a rational interval]]
| |
| *******[[Arithmetic pitch sequence|Arithmetic pitch sequences (APS) / Equal multiplications of an irrational interval]]
| |
| ******Equal divisions
| |
| *******[[EDO|Equal divisions of the octave (EDOs or ED2s)]]
| |
| *******[[The Riemann zeta function and tuning|Zeta-stretched equal divisions]]
| |
| *******[[Edonoi|Edonois]]
| |
| ********[[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)]]
| |
| ********[[:Category:Edonoi|...]]
| |
| ********[[Ed3/2|Equal divisions of the perfect fifth (EDFs or 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)]]
| |
| ********[[:Category:Edonoi|...]]
| |
| ********[[Ed5/2|Equal divisions of 5/2 (EDXs or ED5/2s)]]
| |
| ********[[Ed7/2|Equal divisions of 7/2 (ED7/2s)]]
| |
| ********[[:Category:Edonoi|...]]
| |
| ********[[Ed7/3|Equal divisions of 7/3 (ED7/3s)]]
| |
| ********[[Ed8/3|Equal divisions of 8/3 (ED8/3s)]]
| |
| ********[[Ed10/3|Equal divisions of 10/3 (ED10/3s)]]
| |
| ********[[:Category:Edonoi|...]]
| |
| ********[[Ed9/4|Equal divisions of 9/4 (EDIXs or ED9/4s)]]
| |
| ********[[Ed11/5|Equal divisions of 11/5 (ED11/5s)]]
| |
| ********[[Edφ|Equal divisions of Phi (Edφs)]]
| |
| ********[[CET|''n''-cent equal tunings (''n''-cETs)]]
| |
|
| |
|
| ==== Miscellaneous scale structures ==== | | 800.000 |
| *[[Cartesian scale|Cartesian scales]]
| | |
| *[[Euler-Fokker genus|Euler-Fokker genera]]
| | 1200.000 |
| *[[Omniconsonant scale|Omniconsonant scales]]
| | |
| *[[Yantras]]
| | ====22edo==== |
| | |
| | |
| | Mushroom |
| | |
| | 272.727 |
| | |
| | 490.909 |
| | |
| | 709.091 |
| | |
| | 763.636 |
| | |
| | 1200.000 |
| | |
| | |
| | Shailaja |
| | |
| | 272.727 |
| | |
| | 709.091 |
| | |
| | 763.636 |
| | |
| | 981.818 |
| | |
| | 1200.000 |
| | |
| | |
| | Starship |
| | |
| | 109.091 |
| | |
| | 381.818 |
| | |
| | 490.909 |
| | |
| | 709.091 |
| | |
| | 981.818 |
| | |
| | 1200.000 |
| | |
| | |
| | Subminor Hexatonic |
| | |
| | 218.182 |
| | |
| | 272.727 |
| | |
| | 490.909 |
| | |
| | 709.091 |
| | |
| | 981.818 |
| | |
| | 1200.000 |
| | |
| | |
| | Subminor Pentatonic |
| | |
| | 272.727 |
| | |
| | 490.909 |
| | |
| | 709.091 |
| | |
| | 981.818 |
| | |
| | 1200.000 |
| | |
| | |
| | Volcanic |
| | |
| | 109.091 |
| | |
| | 381.819 |
| | |
| | 709.091 |
| | |
| | 981.818 |
| | |
| | 1200.000 |
| | |
| | ====30edo==== |
| | |
| | |
| | Augmented |
| | |
| | 320.000 |
| | |
| | 400.000 |
| | |
| | 720.000 |
| | |
| | 800.000 |
| | |
| | 1120.000 |
| | |
| | 1200.000 |
| | |
| | |
| | Equipentatonic |
| | |
| | 240.000 |
| | |
| | 480.000 |
| | |
| | 720.000 |
| | |
| | 960.000 |
| | |
| | 1200.000 |
| | |
| | |
| | Rockpool |
| | |
| | 400.000 |
| | |
| | 480.000 |
| | |
| | 720.000 |
| | |
| | 960.000 |
| | |
| | 1200.000 |
| | |
| | |
| | Mavila Carousel |
| | |
| | 360.000 |
| | |
| | 520.000 |
| | |
| | 680.000 |
| | |
| | 1040.000 |
| | |
| | 1200.000 |
| | |
| | |
| | Mavila Dewdrops |
| | |
| | 160.000 |
| | |
| | 320.000 |
| | |
| | 480.000 |
| | |
| | 680.000 |
| | |
| | 840.000 |
| | |
| | 1000.000 |
| | |
| | 1200.000 |
| | |
| | |
| | Mavila Nightdrive |
| | |
| | 320.000 |
| | |
| | 520.000 |
| | |
| | 680.000 |
| | |
| | 1040.000 |
| | |
| | 1200.000 |
| | |
| | |
| | Mavila Major |
| | |
| | 160.000 |
| | |
| | 360.000 |
| | |
| | 520.000 |
| | |
| | 680.000 |
| | |
| | 840.000 |
| | |
| | 1040.000 |
| | |
| | 1200.000 |
| | |
| | |
| | Mavila[16] Chromatic |
| | |
| | 40.000 |
| | |
| | 160.000 |
| | |
| | 200.000 |
| | |
| | 320.000 |
| | |
| | 360.000 |
| | |
| | 480.000 |
| | |
| | 520.000 |
| | |
| | 560.000 |
| | |
| | 680.000 |
| | |
| | 720.000 |
| | |
| | 840.000 |
| | |
| | 880.000 |
| | |
| | 1000.000 |
| | |
| | 1040.000 |
| | |
| | 1160.000 |
| | |
| | 1200.000 |
| | |
| | ====53edo==== |
| | |
| | |
| | Composite Cliffedge |
| | |
| | 271.698 |
| | |
| | 498.113 |
| | |
| | 701.887 |
| | |
| | 1132.075 |
| | |
| | 1200.000 |
| | |
| | |
| | Composite Dungeon |
| | |
| | 384.906 |
| | |
| | 498.113 |
| | |
| | 701.887 |
| | |
| | 792.453 |
| | |
| | 1200.000 |
| | |
| | |
| | Composite Freeway |
| | |
| | 271.698 |
| | |
| | 498.113 |
| | |
| | 701.887 |
| | |
| | 883.019 |
| | |
| | 1041.509 |
| | |
| | 1200.000 |
| | |
| | |
| | Composite Geode |
| | |
| | 271.698 |
| | |
| | 498.113 |
| | |
| | 701.887 |
| | |
| | 1041.509 |
| | |
| | 1200.000 |
| | |
| | |
| | Composite Mushroom |
| | |
| | 271.698 |
| | |
| | 498.113 |
| | |
| | 701.887 |
| | |
| | 769.811 |
| | |
| | 1200.000 |
| | |
| | |
| | Composite Underpass |
| | |
| | 316.981 |
| | |
| | 701.887 |
| | |
| | 928.302 |
| | |
| | 1018.868 |
| | |
| | 1200.000 |
| | |
| | |
| | Spectral Arcade |
| | |
| | 384.906 |
| | |
| | 475.472 |
| | |
| | 701.887 |
| | |
| | 973.585 |
| | |
| | 1200.000 |
| | |
| | |
| | Spectral Mechanical |
| | |
| | 294.340 |
| | |
| | 384.906 |
| | |
| | 701.887 |
| | |
| | 973.585 |
| | |
| | 1200.000 |
| | |
| | |
| | Spectral Moonbeam |
| | |
| | 203.774 |
| | |
| | 294.340 |
| | |
| | 701.887 |
| | |
| | 1086.792 |
| | |
| | 1200.000 |
| | |
| | |
| | Spectral Springwater |
| | |
| | 203.774 |
| | |
| | 384.906 |
| | |
| | 701.887 |
| | |
| | 973.585 |
| | |
| | 1200.000 |
| | |
| | |
| | Spectral Starship |
| | |
| | 90.566 |
| | |
| | 384.906 |
| | |
| | 475.472 |
| | |
| | 701.887 |
| | |
| | 973.585 |
| | |
| | 1200.000 |
| | |
| | |
| | Spectral Volcanic |
| | |
| | 113.208 |
| | |
| | 384.906 |
| | |
| | 701.887 |
| | |
| | 973.585 |
| | |
| | 1200.000 |