Douglas Blumeyer

Douglas Blumeyer is a composer living in San Francisco. He often uses xenharmonic pitch systems in his music. Sometimes he goes by Cmloegcmluin.

Some of his work outside the wiki

His own music and theory

• Musical Patterns: an interactive musical web application
• Cmloegcmluin's SoundCloud
• music-related blog posts
• draft of book Fun Musical Ideas

Notation

• updated Sagittal-SMuFL-Map
• updated Sagittal JI Precision Level notation calculator spreadsheet
• font glyphs for Sagittal Olympian and Magrathean symbol sets
• (WIP) Sagittal tutorial videos
• (WIP) Sagittal written educational materials
• (WIP) online Sagittal notation calculator
• (WIP) updated Sagittal JI Precision Level notation diagram
• (WIP) updated Sagittal Periodic Table of EDOs
• (WIP) updated Sagittal website
• (WIP) unannounced web tool

Other

• viewing interface for the Yahoo Tuning groups archive

Some of his work here on the wiki

RTT

• Douglas Blumeyer's RTT How-To
• saturation, torsion, contorsion, and defactoring (general audience page, to supplement the existing but more mathematically advanced page)
  • defactoring algorithms
  • the pathology of enfactoring
  • defactoring terminology proposal
  • normal lists (revised in collaboration with FloraC to accommodate and enumerate multiple normal forms, and introduced defactored Hermite form)
  • matrix echelon forms
  • generator size manipulation
• RTT library in Wolfram Language
• intro to exterior algebra for RTT (I did not develop most of this theory, just documented it)
• temperament merging (general audience page, to supplement the existing but more mathematically advanced page Meet and join)
• temperament merging across interval bases (a pragmatic separate look at some of the more advanced ideas found in the above page)
• interval basis (a pragmatic and more basic overview of ideas found on various other pages)
• Talk:Interior product (suggestions re: interior product, progressive product, and regressive product)
• Talk:Meet and Join (suggestions to improve meet & join page)
• Talk:Patent val (proposals to rename "patent val" to "simple map" and "generalized patent val" to "uniform map")
• tuning ranges of regular temperaments (not the original tuning range definitions, but major revisions to terminology and documentation)
  • diamond monotone
  • diamond tradeoff
• eigenmonzo (I did not coin the term, just created the page, including its essentially built-in proposal to rename itself to "unchanged interval")
• mapping to lattice (again, not my idea, I just gave it an explanation)
• val list (again, not my idea, I just gave it an explanation)
• tuning map (again, not my idea, I just gave it an explanation)
• comma basis (again, not my idea, I just gave it an explanation)
• val#Vals vs. maps (again, not my idea, I just gave it an explanation)
• map (again, not my idea, I just gave it an explanation)
• secor (again, not my idea, I just gave it an edited diagram and history)
• grade (again, not my idea, I just gave it an explanation)
• variance (again, not my idea, I just gave it an explanation)
• dimensions, dimensionality, and rank-nullity theorem (again, not my idea, I just gave it an explanation)
• full-rank and rank-deficiency (again, not my idea, I just gave it an explanation)
• linear dependence (again, not my idea, I just gave it an explanation)
• basis (again, not my idea, I just gave it an explanation)
• temperament addition (I wouldn't claim this is exactly new, conceptually, but it did involve some original thinking)
• uniform map, integer uniform map
• simple map
• generators preimage transversal (again, not my idea, I just provided in-depth algorithms developed by others, supplementing with implementations and examples)

Other

• N2D3P9
• monotonic tunings
  • arithmetic tunings
    • OD
    • EFD
    • OS
    • AFS
    • EPD
    • APS
    • AS
    • UD
    • ELD
    • ALS
    • US
  • non-arithmetic monotonic tunings
    • powharmonic series
    • logharmonic series
• edφ
• metallic MOS
• generalized superparticulars
• xenharmonic series
  • metallic harmonic series
  • triangulharmonic series
  • oddharmonic series
  • edharmonic series
  • matharmonic series
  • subharmonic series (obviously didn't invent this one, just documented it)
  • dumb Fibonacci
• Gjaeck
• Yer
• Maximum variety#Examples testing for MV
• acoustic phi (didn't invent, just documented)