Sixth-Comma Meantone vs. Third-Comma Meantone

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

At a Glance

Feature Sixth-Comma Meantone Third-Comma Meantone
Category meantone meantone
Formula Type fractional-comma fractional-comma
Historical Era Baroque Renaissance / Baroque
Key Advantage Compromise between equal and quarter-comma: better key flexibility with acceptable thirds. Pure minor thirds (6:5) — better suited to minor-mode Renaissance music.
Key Limitation Major thirds less pure than quarter-comma; wolf fifth still present but narrower. Wider wolf fifth and less pure major thirds than quarter-comma meantone.
Typical Use Late Baroque keyboard music where some modulation is needed alongside pure-ish thirds. 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 Sixth-Comma Meantone: positive means Third-Comma Meantone is sharper.

Note Sixth-Comma Meantone (¢) Third-Comma Meantone (¢) Difference (¢)
C4 +6.85 +13.69 +6.84
Db4 -9.65 -17.59 -7.94
D4 +1.96 +5.21 +3.25
Eb4 +13.69 +27.37 +13.68
E4 -3.42 -3.42 0.00
F4 +8.80 +18.90 +10.10
Gb4 -6.85 -13.69 -6.84
G4 +4.89 +9.78 +4.89
Ab4 -11.60 -22.80 -11.20
A4 0.00 0.00 0.00
Bb4 +11.73 +22.48 +10.75
B4 -4.89 -9.78 -4.89

When to Choose Each

Choose Sixth-Comma Meantone when:

Choose Sixth-Comma Meantone when you need meantone warmth but access to a slightly wider range of keys. Its compromise between pure thirds and usable distant keys suits mid-Baroque repertoire.

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 Sixth-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.

Sixth-Comma Meantone
Developed by Giuseppe Tartini and Baroque theorists (c. 1750) — Baroque era
Third-Comma Meantone
Developed by Francisco de Salinas (1577) — Renaissance / Baroque era

Compare Temperaments in Tunable — Get Tunable.

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