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BudjarnLambeth

Joined 22 July 2022
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autopatrolled, emailconfirmed
18,223 edits
mNo edit summary
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=== Contact information ===
=== Contact information ===
https://www.facebook.com/budjarnlambeth/
https://www.facebook.com/budjarnlambeth/
=== Families of scales and temperaments ===
This is a personal tool to help me navigate the wiki.           
==== 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]]
==== 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)]]
==== 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
****...
==== Metascales ====
* [[Metascales]]
**[[Compound scale|Compound scales]]
** [[Scale products and scale powers]]
** [[MOS Cradle|MOS cradles]]
** [[Muddle|MOS muddles]]
** [[Polymicrotonality|Polysystemic scales / Polymicrotonal scales]]
==== 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)]]
==== Miscellaneous scale structures ====
*[[Cartesian scale|Cartesian scales]]
*[[Euler-Fokker genus|Euler-Fokker genera]]
*[[Omniconsonant scale|Omniconsonant scales]]
*[[Yantras]]


=== My favourite scales ===
=== My favourite scales ===
Line 1,000: Line 1,210:
====Dalmatian scale====
====Dalmatian scale====
(under construction)
(under construction)
=== Families of scales and temperaments ===
This is a personal tool to help me navigate the wiki.           
==== 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]]
==== 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)]]
==== 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
****...
==== Metascales ====
* [[Metascales]]
**[[Compound scale|Compound scales]]
** [[Scale products and scale powers]]
** [[MOS Cradle|MOS cradles]]
** [[Muddle|MOS muddles]]
** [[Polymicrotonality|Polysystemic scales / Polymicrotonal scales]]
==== 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)]]
==== Miscellaneous scale structures ====
*[[Cartesian scale|Cartesian scales]]
*[[Euler-Fokker genus|Euler-Fokker genera]]
*[[Omniconsonant scale|Omniconsonant scales]]
*[[Yantras]]
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth"