BAIN MUSC 726T
Tuning Theory
Software
WEB-BASED CALCULATORS
- General Purpose
- Graphing
- Desmos, Graphing Calculator {Desmos.com}
- See also: Apple, Graphing Calculator {Apple}
- Fractions
- RapidTables, Fraction Calculator {RapidTables}
Add (+), subtract (-), multiply (*) and
divide (/) fractions
- Calculator Soup
- Wolfram Alpha
- Intervals
- Bain, Ratio
to Cents
A simple mobile Web app that
converts an interval frequency ratio to cents and provides its
decimal expansion to three decimal places
- Winkler, Just intonation ratio player {Observable}
Play ratio sequences as a scale or chord
- Ratioscore: Just Interval Tool {Humdrum.org}
- Nicholson & Sabat, Plainsound Harmonic Space Calculator {Plainsound.org;
User
Guide}
A tool for composers and musicians who
are interested in discovering and working with properties of
intervals tuned in just intonation
- Untwelve, JavaScript Interval Calculator {Untwelve.org}
Calculates rational approximations (or
semi-convergents) and EDO approximations for a given interval
- Yacavone, Xen-Calc {Yacavone.net}
A multi-purpose calculator/converter
for microtonal (AKA: xenharmonic) music theory that supports
conversion between cents, just ratios, EDO, FJS, and color notations
WEB APPS
Lambdoma Player
Tonality Diamond Player
Harmonic Series Spiral Player
- Giannotta and Løfvander, Overtones Spiral (1-16) {Suonoterapia.org}
- Nicholson, Harmonic Series Spiral Synth (1-64) {Superparticular.com}
- Norris, Harmonic Series Calculator {MichaelNorris.info}
- Lowengard, The beauty of comparing harmonic intervals {jhhl.net}
Tone Circle Player
- Bretschneider, Notenscheibe – {Notenscheibe.de}
- Radical Data and Media, Harmonagon {Harmonagon.com}
Tone Circle Maker
Villaseñor, Constant
Structure Analyzer
{Wilson-tunings.netify.app}
Lattice Maker
Villaseñor, Lattice Maker {Wilson-tunings.netlify.app}
from The Wilson Archives, Tools and Treasures: Software: Tools for
Exploring Some of Erv Wilson's Scale Concepts – https://www.anaphoria.com/wilsontreasure.html
- Enter a scale and the program will create a tuning lattice
e.g., enter the just (5-limit) scale 1/1
9/8 5/4 4/3 3/2 5/3 15/8 and the program will display the lattice
shown in Figure 1
Figure 1. Tuning lattice for the diatonic scale in just
(5-limit) intonation
![](just5-limit_lattice.png)
Keyboard/Scale Web Apps
- Sevish et al., Scale Workshop 2 {Sevish.com}
Design microtonal scales and play them in
your web browser
- Plainsound, Hexatone {Plainsound.org}
Customisable touch keyboard with built-in sounds and MIDI input and
microtonal (MIDI Tuning Standard) output
Other
- Allami,
Leimma & Aptome {isartum.net}
- Alves, Just Intonation Ear
Trainer
- New Tonality, Xentonal Synthesizer {NewTonality.net}
Calculate dissonance curves
- Nicholson, Tools {Superparticular.com}
- Plainsound Harmonic Synth Calculator
- Harmonic Series Spiral Synth
- Relations of tone as an analogy for relations of colour
- Scullard, Interactive Circle of Fifths {randscullard.com}
- Stilner, Moments of Symmetry in equal divisions of the octave
calculator {anaphoria.com}
- Terpstra, Keyboard WebApp {Terpstra}
- The Terpstra
Keyboard Concept {YouTube}
- Villaseñor, Tools for exploring some of Erv Wilson's scale concepts {wilson-tunings.netlify.app}
- Walter, Music Calculators {CasparJohannesWalter.de}
- Wolfram, Demonstrations Project: Exploring Musical Tuning and
Temperament {Wolfram}
iOS APPS
- Satellite, Wilsonic iPad App {Website}
- AudioKit TuneUp Demo {YouTube}
- Peterson, iStrobeSoft {PetersonTuners.com}
MISC. STANDALONE SOFTWARE
Analysis
SCALA
Scala, by Op de Coul {WP}
Scala is an advanced application for tuning theory. It is freeware that
runs on Windows, MacOS, and Linux.
Features:
- Create and archive microtonal/xenharmonic musical scales
- Analyze and transform scales with built-in theoretical tools
- Play scales using an on-screen keyboard or external MIDI keyboard
- Export scale data to software synthesizers
Links:
- Third-Party Tutorials:
- Other:
- Garritan, Aria Player, Scala file reference {Garritan}
PROGRAMMING LANGUAGES & DAWS
- Ableton
- Max for Live, Microtuner by Ableton {Ableton}
- Apple, Logic Pro {Apple.com}
- Overview of Tuning in Logic Pro {Apple.com}
- Show Advanced Tools
- Logic Pro X > Preferences > Advanced Tools > Show
Advanced Tools
- Set Scale (fixed, 12 tones)
- File > Project Settings > Tuning > Software Instrument
Scale
- Cycling '74, Max {Cycling
'74}
- IRCAM, OpenMusic {IRCAM}
- Mann, Tone.js {GitHub}
- Tune.js: A Microtonal Web Audio Library {GATech;
IRCAM}
- McCartney, SuperCollider
- See Fabrice Mogina, Alternative Tunings with SuperCollider (Mogini
2011)
- Vercoe, Csound {Csounds.com}
COMMERCIAL KEYBOARDS/SYNTHS
- Hπ Instruments
- Lumatone Isomorphic Keyboard {www.lumatone.io;
YouTube}
- Modartt, Pianoteq 8 {Modartt.com}
- Naitive Instruments, Kontakt 14 {Native-Instruments.com}
See also: Xenharmonic Wiki, DAWs {XW}
Links
Plainsound Music Edition, Just Intonation
& Microtonal Resources – https://www.plainsound.org
The
Wilson Archives, Tools and Treasures: Software: Tools for Exploring Some
of Erv Wilson's Scale Concepts – https://www.anaphoria.com/wilsontreasure.html
Xeharmonic
Wiki, List of Music Software {XW}
References
Gann,
Kyle. 2019. The Arithmetic of Listening: Tuning Theory and History
for the Impractical Musician. Urbana,
IL: University of Illinois Press. {GB}
Mogini, Fabrice. 2011. "Ch. 17 Alternative
Tunings with SuperCollider." In The SuperCollider Book, edited
by Scott Wilson, David Cottle, and Nick Collins. Cambridge, MA: MIT Press.
{GB}
Updated: April 11, 2024