mm Tuner · Music Motion

🎙

Microphone Access

The tuner needs to hear your instrument.
Audio is processed locally — never recorded or sent anywhere.

mm Pythagorean Tuner

Music Motion · 3-limit · 2ⁿ · 3ᵐ · non-profit

How to use

01Choose your Tonal System — Axiomatic for pure Pythagorean ratios, Tonal for a key-based context.
02Select the target note in the coloured grid and set the octave with the − + buttons.
03Tap Play Tone to hear the Pythagorean reference pitch through your speaker.
04Tap Listen & Tune — play your instrument and watch the dot move to the centre. Green centre dot = in tune.
05Red right = too sharp — lower your pitch. Blue left = too flat — raise your pitch.
06Use A= in the header to adjust the reference pitch (415 baroque → 466 renaissance).

Axiomatic vs Tonal mode

Axiomatic

Pure Pythagorean ratios only — 2ⁿ · 3ᵐ. Every note is its exact mathematical self, independent of any key or harmonic context. C is 1/1. G is 3/2. A is 27/16. No alteration. No compromise. The absolute reference for solo tuning and interval study.

Tonal

The same ratios placed within a key (F C G D A E B). The alteration ♭ ♮ ♯ and sensitivity (0 +1 +2) define the harmonic position of each note — axiomatic (OO), upper tonal (O1), or lower tonal (1O). Ideal for ensemble playing where the note's role in the key matters.

What is Pythagorean tuning?

All frequencies are derived from two primes only: 2 and 3 — octaves (×2) and perfect fifths (×3/2). No equal temperament, no √2, no compromise. The Pythagorean comma (531441/524288 ≈ 23.46 cents) is the gap that emerges after 12 pure fifths — the difference that equal temperament hides, and that orchestral string players, woodwind players and singers have always corrected by ear.

About

Created by Mario Maurano — contrabassist, composer, developer. 35 years in professional orchestras (BRT Philharmonic · Orchestre Philharmonique de Liège). Music Motion has been in development since 2001.

CC BY-NC-ND 4.0 · Free to use and share · No modifications · Non-commercial.
about.mariomaurano.com

Pythagorean Tuner

3-limit · 2ⁿ · 3ᵐ · non-profit

Reference Pitch A4

440.0 Hz

Tonal System

Alt

Sens

Key

Select Target Note

octave 4 octave

Target — Pythagorean Pitch

27 / 16

440.000 Hz

3³ / 2⁴ — Major Sixth

Pitch Meter

♭♭ ♭ ● ♯ ♯♯

Detected

— Hz

Target

440.000 Hz

Difference

— Hz

Deviation — Pythagorean comma basis

← ● →

ratio basis 2ⁿ · 3ᵐ — Pythagorean comma 531441/524288