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Models of Tunings
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Justonic, Inc.
Tuning Theory
Models of Tunings
Absolute Tunings
Relative Tunings
Transposable Tunings
Register-Doubling Tunings
The Choice of a Model for Diatonic Tunings
Diatonic Pitches as Fifth-Register Vectors
Converting Pitches to FRV
Fifth Tunings
Beatless (Just) M3 and P5
Beating
Beating and Dissonance
The Derivation of Beatless M3 and P5
Evaluations of Fifth Tunings
Discussion of Specific Diatonic Tunings
Regular Tunings
Just P5 and M3 Impossible in Diatonic Tunings
The Size of Regular Diatonic Tunings
Truncated Tunings
Wolf Intervals in Truncated Tunings
Enharmonic Expectations
Well Temperaments
Review of Diatonic Tunings
Triadic Tunings
The Representation of Triadic Pitch
Just Triadic Tuning
Other Triadic Tunings
Ben Denckla
8/29/1997
