Douglas Blumeyer

Douglas Blumeyer is a software engineer and composer living in the San Francisco Bay Area. 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

Original work

• Douglas Blumeyer's RTT How-To*
• RTT library in Wolfram Language*
• intro to exterior algebra for RTT*
• temperament addition
• uniform map, integer uniform map*
• simple map*
• unison temperament*

Documentation improvement

• 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*
• temperament merging (general audience page covering most of the material on the existing page Meet and join which targets a more mathematically-inclined audience)
  • temperament merging across interval bases (a separate general audience page for the remaining material on the existing page Meet and join)
• interval basis (a pragmatic and more basic overview of ideas found on various other pages)
• tuning ranges of regular temperaments
  • diamond monotone (worked with original authors to give concept more specific terminology for clarity, and documented)
  • diamond tradeoff (worked with original authors to give concept more specific terminology for clarity, and documented)
• eigenmonzo* (did not coin the term, just created the page, including its essentially built-in proposal to rename itself to "unchanged interval")
• mapping to lattice
• val list
• tuning map
• comma basis
• val#Vals vs. maps
• map
• secor*
• grade
• variance
• dimensions, dimensionality, and rank-nullity theorem
• full-rank and rank-deficiency
• linear dependence
• basis
• generators preimage transversal (provided in-depth explanations of algorithms developed by others, supplementing with code implementations and examples)
• preimage
• detempering
• support
• essentially tempered chord (added the diagram)

Suggested improvements

• Talk:Interior product*
• Talk:Meet and Join*
• Talk:Detempering

Non-RTT

Original work

• 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
  • dumb Fibonacci
• Gjaeck
• Yer

Improved documentation

• subharmonic series
• acoustic phi
• Maximum variety#Examples testing for MV

*In close collaboration with Dave Keenan.