BAIN MUSC 726T
Tuning Theory
Terms & Concepts
See also the
Glossary of Tuning
Turning Terms in
Gann 2019, pp.
277-282 {
EBSCOhost}
- 12-tet {WP;
XW}
- Acoustics {BA;
HD;
WP} &
Psychoacoustics {WP}
- Beats {WP}
- Roughness {WP}
- Critical bandwidth {WP}
- Aristoxenus, Elementa harmonica (4th c. BCE) {WP}
- Barbour, Tuning and Temperament: A Historical Survey (Barbour
1951)
- Blackwood, The Structure of Recognizable Diatonic Tunings
(1985)
- Boethius, De institutione musica (1491) {WP}
- Bohlen-Pierce scale {WP;
XW}
- Chain of fifths notation {XW;
Scholtz
1998)
- Comma {BA;
WP}
- Pythagorean comma {WP;
XW}
- Syntonic comma {WP;
XW}
- Diesis {WP; XW}
- Other commas, discrepancies, and small intervals
- Consonance and dissonance {HD}
- Helmholtz 1885; Campbell
& Greated 1987; Tenney
1998; Doty 2002
- Dissonance curve {Sethares
2005}
- Diatonic
- Regular diatonic tuning {WP}
- EDO vs. ET {XW}
- Equal divisions of the octave (EDO) {WP;
XW}
- See Gann, pp. 80-81 and Ch.
12-13
- See also: EDOs to ETs {XW}
- EDOs with close approximations of 3/2 fifths:
- n = 12, 17, 19, 24, 29, 31, 36, 41, 43, 48 & 53 (Gann,
p. 50)
- Equal temperament (ET) {WP}
- 12-tet/12edo {XW; WP}
- 19-tet/19edo {XW; WP}
- 22-tet/22edo {XW; WP}
- 31-tet/31edo {XW; WP}
- 53-tet/53edo {XW; WP}
- Equal-step tuning {XW}
- Expressive intonation (Sundberg et al
1989)
- Generated collection {WP}
- Well-formed scales (Carey and Clampitt
1989)
- Harmonic series, or overtone series {Teoria;
HD;
WP;
XW}
- Harmonics, partials, and overtones
- Helmholtz, On
the Sensations of Tone {WP}
(Helmholtz 1885)
- Historically informed performance {WP}
- History of tuning theory
- Barbour, Tuning and Temperament: A Historical Survey (Barbour
1951)
- Christensen, The Cambridge History of Western Music Theory
(Christensen 2002)
- Doty, The Just Intonation Primer (Doty
2002)
- Gann, The Arithmetic of Listening (Gann
2019)
- Partch, Genesis of a Music (Partch
1974/1949)
- Historical pitch {WP;
EMS}
- Interval {WP}
- Complement
- Octave complement {XW}
- Fifth complement {XW}
- Rational vs. ordinal identification (Milne
et al. 2007)
- Gallery
- List of Octave-Reduced Harmonics {XW}
- List of Superparticular intervals {XW}
- Gallery of Just intervals {XW}
- Manuel Op de Coul, List of Intervals {HFF}
- Just intonation (JI) {BA;
HD;
XW} (Doty
2002; Nicholson
and Sabat 2018)
- 5-limit, see Gann Ch. 5
- Extended just intonation (EJI)
- 7-limit, 11-limit, 13-limit, and beyond, see Gann
Ch. 9-11
- Harmony of the spheres {WP}
- Keyboard {WP}
- Halberstadt keyboard (1361) {WP;
Tonalsoft}
- Harmonic table note layout {WP}
- Generalized keyboard {WP}
- Isomorphic keyboard {WP}
(Milne et al. 2007)
- Wicki-Hayden note layout {WP}
- Vicentino, Archicembalo {WP}
- Lambdoma (or Pythagorean Lambdoma)
- Lattice {WP}
- Harmonic lattice diagram {XW}
- Line of fifths (Blackwood 1985, p. 49)
- Lipps-Meyer law {WP}
- Lissajous figures {WP}
- Various frequency and phase differences {WP}
- Meantone temperament {WP;
XW; Tonalsoft}
- Mersenne, Harmonie Universelle (1639) {WP}
- Microtonal notation
- Microtonality {HFF;
XW}
- Moment of symmetry (MOS) scale (Milne et
al. 2007)
- Interval of equivalence, or period
- Monochord {WP; Grove}
- Musical tone {WP}
- Pitch
- Intensity
- Duration
- Timbre {BA}
- Music of the spheres, see Musica universalis {WP}
- Newton's spectrum scale {Gencer
2020}
- Number {WP}
- Octave reduction {XW}
- Overtone {BA}
- Partch,Genesis of a Music {WP}
(Partch 1949)
- 43-tone scale {WP}
- Otonality and utonality {WP}
- Tonality diamond {WP;
Tonalsoft}
- Pitch notation
- American Standard Pitch Notation (ASPN) {WP}
- Helmholtz Notation {WP}
- See also: Microtonal notation
- Physics {WP}
- See also: Psychophysics {WP}
- Physiology {WP}
- Prime limit {WP;
XW} (Gann,
pp. 36-37)
- 3-limit {XW}; 5-limit {XW};
7-limit {XW}; 11-limit {XW};
etc.
- Psychology {WP}
- Ptolemy, Harmonika (2nd c.) {Chicago.edu;
IA}
(Gann, Ch. 3, pp. 42-47)
- Pythagoras {WP}
- Legend of the harmonious blacksmith {WP}
- Pythagorean tuning {WP;
XW} (Gann,
Ch. 4)
- Quadrivium {WP}
arithmetic, geometry, music, and astronomy
- Quarter tone {WP}
- Ratio {XW}
- Savart {WP}
- Scale {BA;
HD}
- Scordatura {WP}
- Sondio 13 {WP}
- Subharmonic series, or undertone series {WP}
- Superparticular ratio {XW}
- Temperament
- Tempered interval (Milne et al. 2007)
- Meantone (see Meantone temperament) (Gann
Ch. 6)
- Regular temperament theory (RTT) {XW}
(Gann, pp. 186-198)
- Historical temperaments {XW}
- Tetractys {WP}
- Tone circles and spirals
- Tonnetz {WP}
- Tuning and temperament {BA}
- Unity (1/1)
- Well Temperament {WP;
XW} (Gann,
Ch. 8)
- Xenharmonic music {WP}
- Zarlino, De institutione musica (1558) {WP}
- Senario {MTO}
(see Duffin 2006)
LEGEND
BA - Britannica
Academic
HD - Harvard
Dictionary
HFF - Huygens-Fokker
Foundation
Ebook Central - ProQuest
Ebook Central
Grove - Grove
Music Online
SA - Sound American
WP - Wikipedia
XW - Xenharmonic Wiki
Links
Acoustical Society of
America – https://acousticalsociety.org
Huygens-Fokker Foundation –
https://www.huygens-fokker.org
Marc
Sabat: Music and Writings – https://marsbat.space
The
[Erv] Wilson Archives – https://www.anaphoria.com/wilson.html
Joe
Monzo, Tonalsoft Encyclopedia of Microtonal Music Theory – http://www.tonalsoft.com/enc/encyclopedia.aspx
Xenharmonic
Wiki (XW) – https://en.xen.wiki/w/Main_Page
References
Gann,
Kyle. 2019. The Arithmetic of Listening: Tuning Theory and History
for the Impractical Musician. Champaign:
University of Illinois Press. {GB}
Updated: March
22, 2024