# User:Cmloegcmluin

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AKA Douglas Blumeyer.

## Some of his work outside the wiki

See Douglas Blumeyer#Some of his work outside the wiki.

## Some of his work here on the wiki

### RTT

#### Original work

- Dave Keenan & Douglas Blumeyer's guide to RTT*
- RTT library in Wolfram Language*
- intro to exterior algebra for RTT*
- projection
- generator embedding optimization
- temperament addition
- uniform map, integer uniform map*
- simple map*
- unison temperament*
- simplicity-prescaled complexity

#### 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 form 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)
- cross-domain temperament merging (a separate general audience page for the remaining material on the existing page Meet and join)

- domain basis
- 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
- generator 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)
- harmonic distance
- error
- damage
- mapped interval*
- extended bra-ket notation*

#### Suggested improvements

### Non-RTT

#### Original work

- N2D3P9*
- undirected value*
- direction*
- superunison ratios*
- subunison ratios*

- monotonic tunings
- arithmetic tunings
- non-arithmetic monotonic tunings

- edφ
- metallic MOS
- generalized superparticulars
- xenharmonic series
- metallic harmonic series
- triangulharmonic series
- oddharmonic series
- edharmonic series
- matharmonic series
- TOH (tritaves of odd harmonics)
- dumb Fibonacci

- Gjaeck
- Yer

#### Improved documentation

- subharmonic series
- acoustic phi
- Maximum variety#Examples testing for MV
- direct approximation (adapted from "patent interval")

*In close collaboration with Dave Keenan.