@@ Line 6: / Line 6: @@
 I am prone to making careless mistakes, especially when calculating things with numbers, so apologies in advance for any of those. Please correct them if you see them.
-=== Favourite scales ===
+=== Music I've made ===
+https://www.youtube.com/playlist?list=PLVHnByvMeRTohfmDPkc0EfOByWaX4xXAF
-A list of scales I personally like:
+https://budjarnlambeth.bandcamp.com/
-==== [[5- to 8-tone scales from the modes of the harmonic series|Modes of the harmonic series]] ====
+=== Contact information ===
+https://www.facebook.com/budjarnlambeth/
+=== My favourite scales ===
+==== Overtone scales ====
 Dozenal Cliffedge
 /12
 /12
 /12
 /12
 /12
 Dozenal Dungeon
 /12
 /12
 /12
 /12
 /12
 Dozenal Freeway
 /12
 /12
 /12
 /12
 /12
 /12
 Dozenal Geode
 /12
 /12
 /12
 /12
 /12
 Spectral Mechanical
 /16
 /16
 /16
 /16
 /16
 Spectral Mirage
 /16
 /16
 /16
 /16
 /16
 /16
 Spectral Moonbeam
 /16
 /16
 /16
 /16
 /16
 Spectral Springwater
 /16
 /16
 /16
 /16
 /16
 Spectral Volcanic
 /16
 /16
 /16
 /16
 /16
 Subharm Starship
 /40
 /34
 /32
 /28
 /24
 /21
@@ Line 151: / Line 95: @@
-==== [[5- to 8-tone scales in zeta stretched 15edo|15 EDO]] ====
+EDO
 Atoll
 .716
 .578
 .294
 .441
 .588
 .735
 Augmented
 .863
 .578
 .441
 .157
 .020
 .735
 Equipentatonic
 .147
 .294
 .441
 .5881
 .735
 Firedance
 .147
 .010
 .441
 .588
 .735
 Monsoon
 .147
 .294
 .441
 .304
 .735
 Rainbow
 .578
 .010
 .441
 .872
 .304
 .735
 Rockpool
 .578
 .294
 .441
 .588
 .735
+==== 21edo ====
-==== [[21edo|21 EDO]] ====
 Pelog Lima
 .28571428571429
 .7142857142857
 .7142857142858
 .
 .
+==== 22edo ====
-'''[[22edo modes|22 EDO]]'''
 Manohari
 .72727272727275
 .90909090909093
 .0909090909091
 .2727272727273
 .8181818181819
 .
 Shailaja
 .72727272727275
 .0909090909091
 .6363636363636
 .8181818181819
 .
 Subminor Hexatonic
 .1818181818182
 .72727272727275
 .90909090909093
 .0909090909091
 .8181818181819
 .
 Subminor Pentatonic
 .72727272727275
 .90909090909093
 .0909090909091
 .8181818181819
 .
+==== 43edo ====
-==== [[5- to 8-tone scales in 43edo|43 EDO]] ====
 Blues Aeolian Hexatonic
 .9767441860465
 .3255813953488
 .953488372093
 .6744186046511
 .3023255813954
 .
 Blues Aeolian Pentatonic I
 .9767441860465
 .3255813953488
 .6744186046511
 .3023255813954
 .
 Blues Aeolian Pentatonic II
 .9767441860465
 .6744186046511
 .3023255813954
 .6511627906976
 .
 Blues Bright Double Harmonic
 .62790697674419
 .69767441860466
 .3255813953488
 .6744186046511
 .3023255813954
 .6511627906976
 .3720930232557
 .
 Blues Dark Double Harmonic
 .34883720930233
 .9767441860465
 .3255813953488
 .953488372093
 .6744186046511
 .3023255813954
 .3720930232557
 .
 Blues Dorian Hexatonic
 .9767441860465
 .3255813953488
 .6744186046511
 .0232558139535
 .6511627906976
 .
 Blues Dorian Pentatonic
 .9767441860465
 .6744186046511
 .0232558139535
 .6511627906976
 .
 Blues Dorian Septatonic
 .9767441860465
 .3255813953488
 .953488372093
 .6744186046511
 .0232558139535
 .6511627906976
 .
 Blues Harmonic Hexatonic
 .34883720930233
 .9767441860465
 .3255813953488
 .6744186046511
 .3720930232557
 .
 Blues Harmonic Septatonic
 .9767441860465
 .3255813953488
 .953488372093
 .6744186046511
 .3023255813954
 .3720930232557
 .
 Blues Leading
 .9767441860465
 .3255813953488
 .953488372093
 .6744186046511
 .6511627906976
 .3720930232557
 .
 Blues Minor
 .9767441860465
 .3255813953488
 .953488372093
 .6744186046511
 .6511627906976
 .
 Blues Minor Maj7
 .9767441860465
 .3255813953488
 .953488372093
 .6744186046511
 .3720930232557
 .
 Blues Pentachordal
 .34883720930233
 .9767441860465
 .3255813953488
 .953488372093
 .6744186046511
 .
 Dominant Pentatonic
 .34883720930233
 .69767441860466
 .6744186046511
 .6511627906976
 .
 Dorian
 .34883720930233
 .9767441860465
 .3255813953488
 .6744186046511
 .0232558139535
 .6511627906976
 .
 Double Harmonic
 .62790697674419
 .69767441860466
 .3255813953488
 .6744186046511
 .3023255813954
 .3720930232557
 .
 Hirajoshi
 .34883720930233
 .9767441860465
 .6744186046511
 .3023255813954
 .
 Ionian Pentatonic
 .69767441860466
 .3255813953488
 .6744186046511
 .3720930232557
 .
 Javanese Pentachordal
 .62790697674419
 .9767441860465
 .953488372093
 .6744186046511
 .
 Kokin-Joshi
 .34883720930233
 .9767441860465
 .6744186046511
 .0232558139535
 .
 Locrian
 .62790697674419
 .9767441860465
 .3255813953488
 .953488372093
 .3023255813954
 .6511627906976
 .
 Lydian
 .34883720930233
 .69767441860466
 .953488372093
 .6744186046511
 .0232558139535
 .3720930232557
 .
 Major
 .34883720930233
 .69767441860466
 .3255813953488
 .6744186046511
 .0232558139535
 .3720930232557
 .
 Major Pentatonic
 .34883720930233
 .69767441860466
 .6744186046511
 .0232558139535
 .
 Minor
 .34883720930233
 .9767441860465
 .3255813953488
 .6744186046511
 .3023255813954
 .6511627906976
 .
 Minor Harmonic
 .34883720930233
 .9767441860465
 .3255813953488
 .6744186046511
 .3023255813954
 .3720930232557
 .
 Minor Harmonic Pentatonic
 .34883720930233
 .9767441860465
 .6744186046511
 .3720930232557
 .
 Minor Hexatonic
 .34883720930233
 .9767441860465
 .3255813953488
 .6744186046511
 .6511627906976
 .
 Minor Melodic
 .34883720930233
 .9767441860465
 .3255813953488
 .6744186046511
 .0232558139535
 .3720930232557
 .
 Minor Pentatonic
 .9767441860465
 .3255813953488
 .6744186046511
 .6511627906976
 .
 Mixolydian
 .34883720930233
 .69767441860466
 .3255813953488
 .6744186046511
 .0232558139535
 .6511627906976
 .
 Mixolydian Harmonic
 .69767441860466
 .3255813953488
 .6744186046511
 .3023255813954
 .6511627906976
 .
 Mixolydian Pentatonic
 .69767441860466
 .3255813953488
 .6744186046511
 .6511627906976
 .
 Phrygian
 .62790697674419
 .9767441860465
 .3255813953488
 .6744186046511
 .3023255813954
 .6511627906976
 .
 Phrygian Dominant
 .62790697674419
 .69767441860466
 .3255813953488
 .6744186046511
 .3023255813954
 .6511627906976
 .
 Phrygian Dominant Hexatonic
 .62790697674419
 .69767441860466
 .3255813953488
 .6744186046511
 .6511627906976
 .
 Phrygian Dominant Pentatonic
 .69767441860466
 .3255813953488
 .6744186046511
 .3023255813954
 .
 Phrygian Pentatonic
 .62790697674419
 .9767441860465
 .6744186046511
 .3023255813954
 .
 Picardy Hexatonic
 .34883720930233
 .69767441860466
 .3255813953488
 .6744186046511
 .3023255813954
 .
 Picardy Pentatonic
 .34883720930233
 .69767441860466
 .6744186046511
 .3023255813954
 .
+==== 53edo ====
-==== [[5- to 8-tone scales in 53edo|53 EDO]] ====
 Dozenal Blues
 .6981132075472
 .1132075471698
 .3207547169811
 .8867924528302
 .
 Dozenal Cliffedge
 .6981132075472
 .1132075471698
 .8867924528302
 .0754716981132
 .
 Dozenal Dungeon
 .90566037735846
 .1132075471698
 .8867924528302
 .4528301886792
 .
 Dozenal Geode
 .6981132075472
 .1132075471698
 .8867924528302
 .509433962264
 .
 Spectral Arcade
 .90566037735846
 .47169811320754
 .8867924528302
 .5849056603773
 .
 Spectral Mechanical
 .33962264150944
 .90566037735846
 .8867924528302
 .5849056603773
 .
 Spectral Moonbeam
 .77358490566036
 .33962264150944
 .8867924528302
 .7924528301887
 .
 Spectral Springwater
 .77358490566036
 .90566037735846
 .8867924528302
 .5849056603773
 .
 Spectral Starship
 .56603773584905
 .90566037735846
 .47169811320754
 .8867924528302
 .5849056603773
 .
 Spectral Volcanic
+.2075471698113
+.90566037735846
+.8867924528302
+.5849056603773
+.
-.2075471698113
+=== Families of scales and temperaments ===
+This is a personal tool to help me navigate the wiki.
-.90566037735846
+==== Just intonation scales ====
+* [[Just intonation|Just intonation scales]]
+**[[Subharmonic series|Aliquot scales (modes of the subharmonic series)]] / [[EDL|EDLs]]
+**[[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 (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]]
-.8867924528302
+==== Tempered scales ====
+*[[Temperament|Temperaments]]
+**[[Clippers]]
+**[[Elves]]
+**[[List of essentially tempered scales|Essentially tempered scales]]
+**[[Lesfip scales]]
+**[[Well temperament|Well temperaments]]
+***[[Kartvelian scales]]
+**[[Dwarves]]
+***[[Especially tempered dwarves]]
+***[[Marvelous dwarves]]
+**[[Hobbits]]
+***[[MOS scale|Moment of symmetry scales]]
+****[[MOS Cradle|MOS cradles]]
+**[[Regular temperament|Regular temperaments]]
+***[[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 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)]]
-.5849056603773
+==== Fokker blocks ====
-.
+* [[Fokker block|Fokker blocks]]
+**[[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
+****...
-=== Music I've made ===
+==== Metascales ====
-https://www.youtube.com/playlist?list=PLVHnByvMeRTohfmDPkc0EfOByWaX4xXAF
+* [[Metascales]]
+**[[Compound scale|Compound scales]]
+** [[Scale products and scale powers]]
+** [[MOS Cradle|MOS cradles]]
+** [[Muddle|MOS muddles]]
+** [[Polymicrotonality|Polysystemic scales / Polymicrotonal scales]]
-https://budjarnlambeth.bandcamp.com/
+==== Periodic scales ====
+* [[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
+*****[[Subharmonic series|Aliquot scales (modes of the subharmonic series)]] / [[EDL|EDLs]]
+****Equal frequency step tunings
+*****[[Overtone scale|Overtone scales (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|Cent equal temperaments (cETs)]]
-=== Contact information ===
+==== Miscellaneous scale structures ====
-https://www.facebook.com/budjarnlambeth/
+*[[Cartesian scale|Cartesian scales]]
+*[[Euler-Fokker genus|Euler-Fokker genera]]
+*[[Omniconsonant scale|Omniconsonant scales]]
+*[[Yantras]]

BudjarnLambeth