Comparison Selector

COMPARE beta
Select multiple temperaments to view all pairwise comparisons. Selections are saved across page refreshes. Click "View Proof" to see detailed multiset matching analysis for any pair.

Temperament Comparison Selector

Select multiple temperaments to view all pairwise comparisons. Selections are saved across page refreshes.

• 2 temperaments = 1 comparison
• 3 temperaments = 3 comparisons
• 6 temperaments = 15 comparisons
• Click "View Proof" to see detailed multiset matching analysis for any pair

Temperament Comparisons

Select temperaments below to compare

Showing 84 items
Equal Temperament
Equal Temperament  •  σ(M3): 0.0000
Neidhardt
Neidhardt (variant)  •  σ(M3): 0.0000
Pyle Equal-Beating
Pyle Equal-Beating (Jorgensen)  •  σ(M3): 0.3107
Ellis Equal-Beating
Ellis Equal-Beating (Jorgensen)  •  σ(M3): 0.3770
Jousse Quasi Equal
Equal Temperament  •  σ(M3): 0.4854
Hummel Equal-Beating
Equal-Beating Temperament (Jorgensen)  •  σ(M3): 0.4856
Marsh Equal-Beating
Marsh Equal-Beating (Jorgensen)  •  σ(M3): 0.4856
Graupner
Equal Temperament  •  σ(M3): 0.4856
Hummel Viennese
Equal Temperament  •  σ(M3): 0.4872
Best Factory Tuners
Unknown (very uniform fifths - possibly equal temperament variant)  •  σ(M3): 0.6564
Broadwood's Best
Mixed Baroque Temperament  •  σ(M3): 1.0801
Wendell Synchronous ET Equivalent
Vallotti  •  σ(M3): 1.1066
Veroli Almost-Equal
Unknown (very uniform fifths - possibly equal temperament variant)  •  σ(M3): 1.1266
Koval Variable 1.3
Unknown (very uniform fifths - possibly equal temperament variant)  •  σ(M3): 1.1738
Tuner's Guide #2
Mixed Baroque Temperament  •  σ(M3): 1.2007
Tuner's Guide #3
Mixed Baroque Temperament  •  σ(M3): 1.4254
Koval Variable 1.7
Unknown (very uniform fifths - possibly equal temperament variant)  •  σ(M3): 1.5357
Neidhardt / Marpurg / De Morgan
Neidhardt (variant)  •  σ(M3): 1.5419
Koval Variable 2.1
Unknown (very uniform fifths - possibly equal temperament variant)  •  σ(M3): 1.8945
Coleman 10
Mixed Baroque Temperament  •  σ(M3): 1.9149
Moscow
Vallotti  •  σ(M3): 2.2929
Moore - Representative Victorian
Unknown (very uniform fifths - possibly equal temperament variant)  •  σ(M3): 2.3094
Wicks Equal-Beating
Wicks Equal-Beating (Jorgensen)  •  σ(M3): 2.4716
Bremmer Equal-Beating Victorian
Equal-Beating Temperament (Jorgensen)  •  σ(M3): 2.4747
Koval Variable 2.9
Mixed Baroque Temperament  •  σ(M3): 2.6183
Neidhard Große Stadt
Mixed Baroque Temperament  •  σ(M3): 2.7648
De Morgan Unequal
Mixed Baroque Temperament  •  σ(M3): 2.8771
Wendell Very Mild Synchronous
Werckmeister III  •  σ(M3): 3.0253
Wendell Natural Synchronous
Vallotti  •  σ(M3): 3.1152
Rousseau Theoretical
Mixed Baroque Temperament  •  σ(M3): 3.2484
Rousseau Equal-Beating
Equal-Beating Temperament (Jorgensen)  •  σ(M3): 3.3583
Händel
Mixed Baroque Temperament  •  σ(M3): 3.4963
Tuner's Guide #1
Mixed Baroque Temperament  •  σ(M3): 3.6843
Coleman 11
German Good Temperament (Well Temperament)  •  σ(M3): 3.8297
Prelleur
Mixed Baroque Temperament  •  σ(M3): 3.8310
Broadwood's Best - Ellis #4
Werckmeister III  •  σ(M3): 4.0620
Preston Equal-Beating
Equal-Beating Temperament (Jorgensen)  •  σ(M3): 4.2942
Jousse Well
Mixed Baroque Temperament  •  σ(M3): 4.3228
Bach/Lehmann
Modified Meantone  •  σ(M3): 4.3791
Broadwood's Usual - Ellis #2
Werckmeister III  •  σ(M3): 4.4535
Wendell Bold Synchronous
Vallotti  •  σ(M3): 4.4698
D'Alembert Equal-Beating
Equal-Beating Temperament (Jorgensen)  •  σ(M3): 4.5497
Preston Theoretical
Modified Meantone  •  σ(M3): 4.8172
Coleman 16
German Good Temperament (Well Temperament)  •  σ(M3): 4.8477
Lambert
Vallotti  •  σ(M3): 4.9965
Neidhard Dorf
German Good Temperament (Well Temperament)  •  σ(M3): 5.2982
Young
Young (variant)  •  σ(M3): 5.3367
Bailey 1993
Werckmeister III  •  σ(M3): 5.3424
Bemetzrieder Reverse
Schlick (1511)  •  σ(M3): 5.4690
Grammateus
Kirnberger II  •  σ(M3): 5.5331
Vallotti
Vallotti  •  σ(M3): 5.9759
Vallotti-Young
Vallotti-Young  •  σ(M3): 5.9770
Werckmeister III
Werckmeister III  •  σ(M3): 6.0257
Tans'ur
Vallotti  •  σ(M3): 6.0306
Boulliau
Kirnberger II  •  σ(M3): 6.0499
Kellner
Kellner  •  σ(M3): 6.1700
1/7 Syntonic
Modified Meantone  •  σ(M3): 6.3111
Merrick
Mixed Baroque Temperament  •  σ(M3): 6.6988
Kirnberger III
Kirnberger II  •  σ(M3): 6.9165
Marpurg III
Marpurg (variant)  •  σ(M3): 7.3169
Prinz Equal-Beating
Equal-Beating Temperament (Jorgensen)  •  σ(M3): 7.3345
Secor #2
Werckmeister III  •  σ(M3): 7.3921
Stanhope Equal-Beating
Equal-Beating Temperament (Jorgensen)  •  σ(M3): 7.8516
Stanhope Theoretical
Circulating Temperament  •  σ(M3): 7.9304
Kirnberger Equal-Beating
Kirnberger (variant)  •  σ(M3): 8.8603
1/6 Syntonic - Silbermann
Fifth-Comma Meantone  •  σ(M3): 9.2207
1/6 Syntonic
Fifth-Comma Meantone  •  σ(M3): 9.3808
Pythagorean Just
Kirnberger II  •  σ(M3): 9.7115
Pythagorean
Pythagorean  •  σ(M3): 11.0627
Hawkes
Modified Meantone  •  σ(M3): 11.2623
Britannica
Circulating Temperament  •  σ(M3): 11.9653
Rameau
French Ordinaire  •  σ(M3): 12.0510
D'Alembert
Modified Meantone  •  σ(M3): 12.6894
1/5 Syntonic - Holden
Fifth-Comma Meantone  •  σ(M3): 13.2600
1/5 Syntonic - Holder
Quarter-Comma Meantone  •  σ(M3): 15.2496
1/5 Ditonic
Quarter-Comma Meantone  •  σ(M3): 15.3955
Fisher
Unknown (has wolf fifth - possibly meantone variant)  •  σ(M3): 15.9072
Huygens
Quarter-Comma Meantone  •  σ(M3): 18.2487
Standard Just
Unknown (has wolf fifth - possibly meantone variant)  •  σ(M3): 19.3553
Sabbatini 1657
Quarter-Comma Meantone  •  σ(M3): 19.3570
1/4 Syntonic
Quarter-Comma Meantone  •  σ(M3): 19.3588
Smith Equal-Beating
Equal-Beating Temperament (Jorgensen)  •  σ(M3): 22.7529
2/7 Syntonic
Quarter-Comma Meantone  •  σ(M3): 23.7022
1/3 Syntonic
General Meantone  •  σ(M3): 29.4952