User:FloraC/Analysis on the 13-limit just intonation space: episode ii

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This page is a work in progress.

Chapter I. Ionian versus Mode 8

Figure: first 16 harmonics in neutral circle-of-fifths notation on C
Figure: double-octave voicing of mode 8

Chapter II. Generic Rooted Chord Construction

Figure: just major chord and just minor chord
Figure: illustration of tonalities resulted from octave subdivision

Chapter III. Primodality and Nonrooted Chord Construction

Chapter IV. Diminished Chords and Augmented Chords

Chapter V. Things Repel the Similar but not Identical

Figure: BWV 846 b. 1–4
Figure: official FJS rendition of BWV 846 b. 1–4
Figure: I–ii making up a long chain of fifths
Figure: Flora's rendition of BWV 846 b. 1–4

Chapter VI. Overview on Functional Harmony

Figure: Flora's function map

Explicit Functions

Implicit Functions

Composite Functions

Chapter VII. Overview on Microtempering

Appendix A. List of Chords

Appendix B. JI Redux of Prelude in C Major (BWV 846)

Appendix C. Harmonic Identities of Individual Harmonics

Notes

Release Notes