# Useful Tools

# Software for manipulating scales and tunings

- Scala - the
*de facto*standard software for creating, manipulating and analyzing tunings - alt-tuner - a tuning plug-in that does adaptive tunings, on-the-fly retuning, and scale analysis by Kite Giedraitis
- Temperament finder - site by Graham Breed
- Tonescape - Music composition, analysis and educational tool by Joe Monzo
- Fractal Tune Smithy & Bounce Metronome - by Robert Walker
- Scala to TUN and MTS online converter - by MicrotonalSoftware.com

# Browser-based tuning tools (JavaScript etc.)

- Interval calculator - a nice online interval calculator tool, shows linear fraction and EDO fraction expansions, too
- Animated MOS ring demo
- Hexagonal Keyboard Demo - by Sjoerd Visscher
- edjiruler v0.0.1 - Visualize JI intervals close to equal divisions of whole numbers
- Scale Workshop - Generate tuning files in your browser
- Rank 2 Regular Temperament Generator - generate rank2 regular temperaments
- MOSedo - Moments of Symmetry in equal divisions of the octave calculator
- Diatonic Scale Explorer - Visualize the diatonic scale with different sizes of fifths
- JI Scale Interval Calculator - Shows a list of all JI intervals in your JI scale
- Harmonic Entropy Calculator - Interactive Harmonic Entropy curves.
- Online H-System Calculators - Hunt Intonation Quality Grade Point Average (IQGPA) Calculator
- Microtonal Software Scale Tree - ET Scale Tree Playground
- Offtonic Microtonal Synth
- Wickisynth - tuning demo synthesizer with Wicki-Hayden key layout
- Online 19-edo keyboard
- Online Terpstra keyboard (isomorphic hexagonal keyboard)
- Microtone - A HTML5 uniform keyboard demo with any equal temperament
- The Monochord - Try out just intervals from a base frequency.
- Rational Keyboard - JI keyboard with keys that grow in size
- Tonespiral - Listen to harmonics visualized as a spiral
- Wolfram Alpha Regular Temperament Widgets
- Just Intonation -> EDO calculator
- Selected just intervals by error
- Selected just intervals by error (MediaWiki output)
- Tempered out comma finder
- Tempering out edo finder
- Table of edo intervals

# Useful tools for math in general

- Cents to Ratio Calculator - and much more! Also, another one with extensive instructions.
- Fraction Expression Calculator - easily do ratio arithmetic
- Fast Decimal to Fraction Approximations
- Continued Fraction Calculator
- Least Common Denominator of Fractions (LCD) Calculator - put your JI ratios in here!
- Octave - a free, open source equivalent to MATLAB; useful for working with matrices and much more
- Wolfram Alpha - perform a variety of intensive mathematical calculations in your browser
- Online LaTeX Equation Editor - create mathematical expressions in LaTeX format for wiki pages etc.

- Number To Fractions — Finds fractions to a number that improve over the previous. Allows restricting to 3–limit, 5–limit, 7–limit, 11–limit or 13–limit. Type a number to be approximated by JI ratios, or the binary logarithm of a ratio to be approximated by edo intervals.
- Fraction Calculator — An Android app that User:PiotrGrochowski recommends to install. Allows to do arithmetic on fractions, while
*not*outputting a mixed fraction.