Quarter-Comma Meantone vs. Third-Comma Meantone

Compare the tuning characteristics of Quarter-Comma Meantone and Third-Comma Meantone — cent deviations per note, practical guidance, and historical context.

At a Glance

Feature Quarter-Comma Meantone Third-Comma Meantone
Category meantone meantone
Formula Type fractional-comma fractional-comma
Historical Era Renaissance / Early Baroque Renaissance / Baroque
Key Advantage Pure major thirds (5:4) in the most common Renaissance/Baroque keys. Pure minor thirds (6:5) — better suited to minor-mode Renaissance music.
Key Limitation A dissonant wolf fifth (between G# and Eb) makes enharmonic keys unusable. Wider wolf fifth and less pure major thirds than quarter-comma meantone.
Typical Use Renaissance and early Baroque keyboard music in flat-key signatures. Renaissance music with emphasis on minor thirds and minor-key tonality.

Cent Deviations: All 12 Notes vs. Equal Temperament

Positive cents = sharper than equal temperament. Negative = flatter. Difference column shows Third-Comma Meantone minus Quarter-Comma Meantone: positive means Third-Comma Meantone is sharper.

Note Quarter-Comma Meantone (¢) Third-Comma Meantone (¢) Difference (¢)
C4 +10.26 +13.69 +3.43
Db4 -13.69 -17.59 -3.90
D4 +3.42 +5.21 +1.79
Eb4 +20.53 +27.37 +6.84
E4 -3.42 -3.42 0.00
F4 +13.69 +18.90 +5.21
Gb4 -10.26 -13.69 -3.43
G4 +6.85 +9.78 +2.93
Ab4 -17.11 -22.80 -5.69
A4 0.00 0.00 0.00
Bb4 +17.11 +22.48 +5.37
B4 -6.85 -9.78 -2.93

When to Choose Each

Choose Quarter-Comma Meantone when:

Choose Quarter-Comma Meantone for Renaissance and early Baroque keyboard music. Its pure major thirds (5:4) give harpsichord and organ repertoire from 1500-1650 its characteristic warm, consonant sound.

Choose Third-Comma Meantone when:

Choose Third-Comma Meantone for a balance between pure minor thirds and accessible distant keys. Historically used alongside quarter-comma for some Baroque keyboard works.

Historical Context

Both Quarter-Comma Meantone and Third-Comma Meantone belong to the meantone family of temperaments, which dominated keyboard music from roughly 1500-1700. They differ in how much of the syntonic comma is distributed across the circle of fifths, giving each a slightly different balance between third purity and usable key range. Composers including Frescobaldi, Byrd, and early Bach likely encountered both.

Quarter-Comma Meantone
Developed by Pietro Aaron (c. 1523) — Renaissance / Early Baroque era
Third-Comma Meantone
Developed by Francisco de Salinas (1577) — Renaissance / Baroque era

Compare Temperaments in Tunable — Get Tunable.

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