User:BudjarnLambeth: Difference between revisions

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Revision as of 23:29, 18 April 2023

Music I've made

https://www.youtube.com/playlist?list=PLVHnByvMeRTohfmDPkc0EfOByWaX4xXAF

https://budjarnlambeth.bandcamp.com/

Contact information

https://www.facebook.com/budjarnlambeth/

Families of scales

This is a personal tool to help me navigate the wiki.

Just intonation scales

Just intonation scales
- Aliquot scales / modes of the subharmonic series / EDLs / IFDOs
- Chord cubes
- Crystal balls
- Highschool scales
- Homothetic JI scales
- Tritriadic scales
- Tonality diamonds
  - Breed diamonds
  - Diaconv scales
- Combination product sets
- Overtone scales / modes of the harmonic series / AFDOs
  - Modes of the oddharmonic series
  - Modes of the prime harmonic series
  - Primodal scales
  - NEJI scales
  - Modes of the triangulharmonic series

Tempered scales

Tempered scales
- Clippers
- Elves
- Essentially tempered scales
- Lesfip scales
- Scales produced by well temperaments
  - Kartvelian scales
- Dwarves
  - Especially tempered dwarves
  - Marvelous dwarves
- Hobbits
  - Moment of symmetry scales
    - MOS cradles
- Scales produced by regular temperaments
  - Scales produced by 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 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 temperaments (map)
    - Scales produced by linear temperaments
    - Moment of symmetry scales
      - 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 rank-1 temperaments / Equal-step tunings
    - Equal multiplications
      - Ambitonal sequences (AS) / Equal multiplications of a rational interval
      - Arithmetic pitch sequences (APS) / Equal multiplications of an irrational interval
    - Equal divisions

Fokker blocks

Fokker blocks
- Moment of symmetry scales
  - MOS cradles
- Superwakalixes
- Wakalixes
  - r-wakalixes
    - Triple wakalixes
    - Quadruple wakalixes
    - Pentuple wakalixes
    - ...

Metascales

Metascales

Periodic scales

Periodic scales
- Generator-offset scales
- Maximal harmony epimorphic scales
- Step-nested scales
  - Moment of symmetry scales
    - MOS cradles
- Harmonotonic / step-monotonic tunings
  - Xenharmonic series
    - Ambitonal sequences (AS) / Equal multiplications of a rational interval
    - Aliquot scales (modes of the subharmonic series) / EDLs
    - 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
    - Subpowharmonic series
    - Sublogharmonic series
    - Modes of the triangulharmonic series
  - Non-arithmetic harmonotonic tunings
  - Arithmetic tunings
    - Equal length step tunings
      - Aliquot scales / modes of the subharmonic series / EDLs / IFDOs
    - Equal frequency step tunings
      - Overtone scales / modes of the harmonic series / AFDOs
        Modes of the oddharmonic series
        
        Modes of the prime harmonic series
        
        Primodal scales
        
        NEJI scales
        
        Modes of the triangulharmonic series
    - Equal pitch step tunings
      - Rank-1 temperaments / Equal-step tunings
        Equal multiplications
        Ambitonal sequences (AS) / Equal multiplications of a rational interval
        
        Arithmetic pitch sequences (APS) / Equal multiplications of an irrational interval
        
        Equal divisions
        Equal divisions of the octave (EDOs or ED2s)
        
        Zeta-stretched equal divisions
        
        Edonois
        Equal divisions of the third harmonic (EDTs or ED3s)
        
        Equal divisions of the fourth harmonic (ED4s)
        
        Equal divisions of the fifth harmonic (ED5s)
        
        Equal divisions of the sixth harmonic (ED6s)
        
        Equal divisions of the seventh harmonic (ED7s)
        
        Equal divisions of the eighth harmonic (ED8s)
        
        Equal divisions of the ninth harmonic (ED9s)
        
        Equal divisions of the tenth harmonic (ED10s)
        
        Equal divisions of the eleventh harmonic (ED11s)
        
        ...
        
        Equal divisions of the perfect fifth (EDFs or ED3/2s)
        
        Equal divisions of the perfect fourth (ED4/3s)
        
        Equal divisions of the major sixth (ED5/3s)
        
        Equal divisions of the major third (ED5/4s)
        
        ...
        
        Equal divisions of 5/2 (EDXs or ED5/2s)
        
        Equal divisions of 7/2 (ED7/2s)
        
        ...
        
        Equal divisions of 7/3 (ED7/3s)
        
        Equal divisions of 8/3 (ED8/3s)
        
        Equal divisions of 10/3 (ED10/3s)
        
        ...
        
        Equal divisions of 9/4 (EDIXs or ED9/4s)
        
        Equal divisions of 11/5 (ED11/5s)
        
        Equal divisions of Phi (Edφs)
        
        n-cent equal tunings (n-cETs)

Miscellaneous scale structures

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