BudjarnLambeth

I am a 23 year old man from regional New South Wales, Australia.

I have a casual interest in xenharmonic/microtonal music. My favourite artists are Brendan Byrnes, Sevish and Greystar. I am nervous, timid, and care a lot about what other people think of me, but I want to be as helpful as I can be.

Frontiers have always fascinated me: The unexplored depths of the Earth's ancient history, lost to deep time. The unexplored far reaches of the solar system, the galaxy and the universe. And, the unexplored depths of the infinite pitch spectrum, an infinite expanse, hiding in plain sight between the keys of the piano!

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.

Music I've made

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

https://budjarnlambeth.bandcamp.com/

Contact information

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

My favourite scales

Overtone scales

Dozenal Cliffedge 14/12 16/12 18/12 23/12 24/12

Dozenal Dungeon 15/12 16/12 18/12 19/12 24/12

Dozenal Freeway 14/12 16/12 18/12 20/12 22/12 24/12

Dozenal Geode 14/12 16/12 18/12 22/12 24/12

Spectral Mechanical 19/16 20/16 24/16 28/16 32/16

Spectral Mirage 18/16 21/16 24/16 25/16 30/16 32/16

Spectral Moonbeam 18/16 19/16 24/16 30/16 32/16

Spectral Springwater 18/16 20/16 24/16 28/16 32/16

Spectral Volcanic 17/16 20/16 24/16 28/16 32/16

Subharm Starship 42/40 42/34 42/32 42/28 42/24 42/21

15edo

Atoll 79.716 398.578 478.294 717.441 956.588 1195.735

Augmented 318.863 398.578 717.441 797.157 1116.020 1195.735

Equipentatonic 239.147 478.294 717.441 956.5881 1195.735

Firedance 239.147 558.010 717.441 956.588 1195.735

Monsoon 239.147 478.294 717.441 1036.304 1195.735

Rainbow 398.578 558.010 717.441 876.872 1036.304 1195.735

Rockpool 398.578 478.294 717.441 956.588 1195.735

21edo

Pelog Lima 114.28571428571429 285.7142857142857 685.7142857142858 800. 1200.

22edo

Manohari 272.72727272727275 490.90909090909093 709.0909090909091 927.2727272727273 981.8181818181819 1200.

Shailaja 272.72727272727275 709.0909090909091 763.6363636363636 981.8181818181819 1200.

Subminor Hexatonic 218.1818181818182 272.72727272727275 490.90909090909093 709.0909090909091 981.8181818181819 1200.

Subminor Pentatonic 272.72727272727275 490.90909090909093 709.0909090909091 981.8181818181819 1200.

43edo

Blues Aeolian Hexatonic 306.9767441860465 502.3255813953488 613.953488372093 697.6744186046511 809.3023255813954 1200.

Blues Aeolian Pentatonic I 306.9767441860465 502.3255813953488 697.6744186046511 809.3023255813954 1200.

Blues Aeolian Pentatonic II 306.9767441860465 697.6744186046511 809.3023255813954 1004.6511627906976 1200.

Blues Bright Double Harmonic 111.62790697674419 390.69767441860466 502.3255813953488 697.6744186046511 809.3023255813954 1004.6511627906976 1088.3720930232557 1200.

Blues Dark Double Harmonic 195.34883720930233 306.9767441860465 502.3255813953488 613.953488372093 697.6744186046511 809.3023255813954 1088.3720930232557 1200.

Blues Dorian Hexatonic 306.9767441860465 502.3255813953488 697.6744186046511 893.0232558139535 1004.6511627906976 1200.

Blues Dorian Pentatonic 306.9767441860465 697.6744186046511 893.0232558139535 1004.6511627906976 1200.

Blues Dorian Septatonic 306.9767441860465 502.3255813953488 613.953488372093 697.6744186046511 893.0232558139535 1004.6511627906976 1200.

Blues Harmonic Hexatonic 195.34883720930233 306.9767441860465 502.3255813953488 697.6744186046511 1088.3720930232557 1200.

Blues Harmonic Septatonic 306.9767441860465 502.3255813953488 613.953488372093 697.6744186046511 809.3023255813954 1088.3720930232557 1200.

Blues Leading 306.9767441860465 502.3255813953488 613.953488372093 697.6744186046511 1004.6511627906976 1088.3720930232557 1200.

Blues Minor 306.9767441860465 502.3255813953488 613.953488372093 697.6744186046511 1004.6511627906976 1200.

Blues Minor Maj7 306.9767441860465 502.3255813953488 613.953488372093 697.6744186046511 1088.3720930232557 1200.

Blues Pentachordal 195.34883720930233 306.9767441860465 502.3255813953488 613.953488372093 697.6744186046511 1200.

Dominant Pentatonic 195.34883720930233 390.69767441860466 697.6744186046511 1004.6511627906976 1200.

Dorian 195.34883720930233 306.9767441860465 502.3255813953488 697.6744186046511 893.0232558139535 1004.6511627906976 1200.

Double Harmonic 111.62790697674419 390.69767441860466 502.3255813953488 697.6744186046511 809.3023255813954 1088.3720930232557 1200.

Hirajoshi 195.34883720930233 306.9767441860465 697.6744186046511 809.3023255813954 1200.

Ionian Pentatonic 390.69767441860466 502.3255813953488 697.6744186046511 1088.3720930232557 1200.

Javanese Pentachordal 111.62790697674419 306.9767441860465 613.953488372093 697.6744186046511 1200.

Kokin-Joshi 195.34883720930233 306.9767441860465 697.6744186046511 893.0232558139535 1200.

Locrian 111.62790697674419 306.9767441860465 502.3255813953488 613.953488372093 809.3023255813954 1004.6511627906976 1200.

Lydian 195.34883720930233 390.69767441860466 613.953488372093 697.6744186046511 893.0232558139535 1088.3720930232557 1200.

Major 195.34883720930233 390.69767441860466 502.3255813953488 697.6744186046511 893.0232558139535 1088.3720930232557 1200.

Major Pentatonic 195.34883720930233 390.69767441860466 697.6744186046511 893.0232558139535 1200.

Minor 195.34883720930233 306.9767441860465 502.3255813953488 697.6744186046511 809.3023255813954 1004.6511627906976 1200.

Minor Harmonic 195.34883720930233 306.9767441860465 502.3255813953488 697.6744186046511 809.3023255813954 1088.3720930232557 1200.

Minor Harmonic Pentatonic 195.34883720930233 306.9767441860465 697.6744186046511 1088.3720930232557 1200.

Minor Hexatonic 195.34883720930233 306.9767441860465 502.3255813953488 697.6744186046511 1004.6511627906976 1200.

Minor Melodic 195.34883720930233 306.9767441860465 502.3255813953488 697.6744186046511 893.0232558139535 1088.3720930232557 1200.

Minor Pentatonic 306.9767441860465 502.3255813953488 697.6744186046511 1004.6511627906976 1200.

Mixolydian 195.34883720930233 390.69767441860466 502.3255813953488 697.6744186046511 893.0232558139535 1004.6511627906976 1200.

Mixolydian Harmonic 390.69767441860466 502.3255813953488 697.6744186046511 809.3023255813954 1004.6511627906976 1200.

Mixolydian Pentatonic 390.69767441860466 502.3255813953488 697.6744186046511 1004.6511627906976 1200.

Phrygian 111.62790697674419 306.9767441860465 502.3255813953488 697.6744186046511 809.3023255813954 1004.6511627906976 1200.

Phrygian Dominant 111.62790697674419 390.69767441860466 502.3255813953488 697.6744186046511 809.3023255813954 1004.6511627906976 1200.

Phrygian Dominant Hexatonic 111.62790697674419 390.69767441860466 502.3255813953488 697.6744186046511 1004.6511627906976 1200.

Phrygian Dominant Pentatonic 390.69767441860466 502.3255813953488 697.6744186046511 809.3023255813954 1200.

Phrygian Pentatonic 111.62790697674419 306.9767441860465 697.6744186046511 809.3023255813954 1200.

Picardy Hexatonic 195.34883720930233 390.69767441860466 502.3255813953488 697.6744186046511 809.3023255813954 1200.

Picardy Pentatonic 195.34883720930233 390.69767441860466 697.6744186046511 809.3023255813954 1200.

53edo

Dozenal Blues 271.6981132075472 498.1132075471698 611.3207547169811 701.8867924528302 1200.

Dozenal Cliffedge 271.6981132075472 498.1132075471698 701.8867924528302 1132.0754716981132 1200.

Dozenal Dungeon 384.90566037735846 498.1132075471698 701.8867924528302 792.4528301886792 1200.

Dozenal Geode 271.6981132075472 498.1132075471698 701.8867924528302 1041.509433962264 1200.

Spectral Arcade 384.90566037735846 475.47169811320754 701.8867924528302 973.5849056603773 1200.

Spectral Mechanical 294.33962264150944 384.90566037735846 701.8867924528302 973.5849056603773 1200.

Spectral Moonbeam 203.77358490566036 294.33962264150944 701.8867924528302 1086.7924528301887 1200.

Spectral Springwater 203.77358490566036 384.90566037735846 701.8867924528302 973.5849056603773 1200.

Spectral Starship 90.56603773584905 384.90566037735846 475.47169811320754 701.8867924528302 973.5849056603773 1200.

Spectral Volcanic 113.2075471698113 384.90566037735846 701.8867924528302 973.5849056603773 1200.

Families of scales and temperaments

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
  • Chord cubes
  • Crystal balls
  • Highschool scales
  • Homothetic JI scales
  • Tritriadic scales
  • Tonality diamonds
    • Breed diamonds
    • Diaconv scales
  • Combination product sets
    • Dekanies
    • Eikosanies
    • Hexanies
    • Pentadekanies
    • Pentanies
  • 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

• Temperaments
  • Clippers
  • Elves
  • Essentially tempered scales
  • Lesfip scales
  • Well temperaments
    • Kartvelian scales
  • Dwarves
    • Especially tempered dwarves
    • Marvelous dwarves
  • Hobbits
    • Moment of symmetry scales
      • MOS cradles
  • Regular temperaments
    • Rank-4 temperaments
      • Keenanismic temperaments
      • Werckismic temperaments
      • Swetismic temperaments
      • Lehmerismic temperaments
      • Kalismic temperaments
    • 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 temperaments (map)
      • 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
    • 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)

Fokker blocks

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

Metascales

• Metascales
  • Compound scales
  • Scale products and scale powers
  • MOS cradles
  • MOS muddles
  • Polysystemic scales / Polymicrotonal scales

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
      • Powharmonic series
      • Logharmonic series
      • Subpowharmonic series
      • Sublogharmonic series
    • Arithmetic tunings
      • Equal length step tunings
        • Aliquot scales (modes of the subharmonic series) / EDLs
      • 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)
              • Cent equal temperaments (cETs)

Miscellaneous scale structures

• Cartesian scales
• Euler-Fokker genera
• Omniconsonant scales
• Yantras