Perfect authentic cadence share

Share of cadences that are perfect authentic (PAC: V–I with the top voice ending on the tonic).

Formula: PAC labels / all cadence labels (including those on rows without a chord symbol). PAC follows the annotators' labels.
How to read it: The rest are imperfect authentic, half, plagal, deceptive and so on. Bach solo works 0.667 and suites 0.571, Mozart 0.491, Beethoven sonatas 0.471.
Caveats: Only for movements with cadence annotation (same scope as cadence density). Movements with few cadences give coarse values.

Distribution by collection

BachBeethovenMozart

One dot per movement. Vertical bar = collection median. Bach's chorales are not shown: no harmony annotation. Beethoven's string quartets are not shown: no cadence annotation.

Collection	n	Median	Q1	Q3	Min	Max
Bach · English and French Suites	89	0.571	0.400	0.750	0.105	1.000
Bach · Solo violin, cello and flute	32	0.667	0.500	0.875	0.333	1.000
Beethoven · Piano sonatas	64	0.471	0.375	0.580	0.000	0.917
Mozart · Piano sonatas	54	0.491	0.400	0.561	0.222	0.812

Ranking

Composer	Work	Movement	Year	Bars	Perfect authentic cadence share
Bach	English Suite No. 4	Courante		20	1.000
Bach	English Suite No. 4	Sarabande		24	1.000
Bach	English Suite No. 5	Gigue		96	1.000
Bach	French Suite No. 2	Sarabande	1722	24	1.000
Bach	French Suite No. 2	Air	1722	16	1.000
Bach	French Suite No. 3	Gavotte	1722	32	1.000
Bach	French Suite No. 4	Allemande	1722	20	1.000
Bach	French Suite No. 4	Sarabande	1722	24	1.000
Bach	French Suite No. 4	Menuett	1722	16	1.000
Bach	French Suite No. 4	Gigue	1722	60	1.000
Bach	French Suite No. 6	Allemande	1722	28	1.000
Bach	French Suite No. 6	Gigue	1722	48	1.000
Bach	Suite No. 3 in C major	Prelude	1717	88	1.000
Bach	Suite No. 3 in C major	Allemande	1717	24	1.000
Bach	Suite No. 3 in C major	Courante	1717	84	1.000
Bach	Suite No. 3 in C major	Sarabande	1717	24	1.000
Bach	Suite No. 4 in E-flat major	Courante	1717	64	1.000
Bach	Suite No. 4 in E-flat major	Gigue	1717	42	1.000
Bach	Suite No. 5 in C minor	Gavotte II	1717	22	1.000
Bach	Partita in A minor	Corrente	1722	62	1.000
Beethoven	Sonata no. 7	Largo e mesto	1797	87	0.917
Beethoven	Sonata no. 23 ('Appassionata')	Andante con moto	1804	97	0.875
Bach	English Suite No. 6	Gavotte II		24	0.857
Bach	English Suite No. 1	Bourrée I		48	0.833
Bach	English Suite No. 6	Courante		32	0.833
Bach	Suite No. 4 in E-flat major	Allemande	1717	40	0.833
Bach	Suite No. 6 in D major	Courante	1717	72	0.833
Bach	Partita in A minor	Bourrée angloise	1722	70	0.833
Beethoven	Sonata no. 10	Andante	1799	90	0.833
Mozart	Piano Sonata no. 14 in C minor	Molto allegro	1784	185	0.812
Bach	English Suite No. 5	Allemande		24	0.800
Bach	French Suite No. 2	Menuett	1722	32	0.800
Bach	French Suite No. 4	Courante	1722	36	0.800
Bach	French Suite No. 4	Air	1722	22	0.800
Bach	French Suite No. 5	Allemande	1722	24	0.800
Bach	Suite No. 3 in C major	Bourrée II	1717	24	0.800
Bach	Partita in A minor	Allemande	1722	46	0.800
Beethoven	Sonata no. 8 'Pathetique'	Adagio cantabile	1797	73	0.800
Beethoven	Sonata no. 9	Rondo: Allegro comodo	1798	131	0.769
Bach	English Suite No. 2	Courante		24	0.750
Bach	English Suite No. 5	Courante		28	0.750
Bach	French Suite No. 3	Menuett	1722	36	0.750
Bach	French Suite No. 3	Trio	1722	24	0.750
Bach	Suite No. 6 in D major	Allemande	1717	20	0.750
Beethoven	Sonata no. 16	Adagio grazioso	1802	119	0.750
Mozart	Piano Sonata no. 16 in C major	Andante	1788	74	0.727
Beethoven	Sonata no. 17	Allegretto	1802	399	0.722
Bach	English Suite No. 4	Menuett I		32	0.714
Beethoven	Sonata no. 19	Rondo: Allegro	1797	164	0.714
Beethoven	Sonata no. 2	Scherzo: Allegretto	1794	68	0.700
Bach	English Suite No. 1	Prelude		37	0.667
Bach	English Suite No. 1	Courante I		20	0.667
Bach	English Suite No. 1	Courante II		24	0.667
Bach	English Suite No. 1	Double I		24	0.667
Bach	English Suite No. 6	Allemande		24	0.667
Bach	French Suite No. 1	Sarabande	1722	24	0.667
Bach	French Suite No. 1	Menuett I	1722	24	0.667
Bach	French Suite No. 4	Gavotte	1722	22	0.667
Bach	French Suite No. 5	Bourrée	1722	30	0.667
Bach	French Suite No. 6	Menuett	1722	24	0.667
Bach	Suite No. 3 in C major	Bourrée I	1717	28	0.667
Bach	Suite No. 4 in E-flat major	Bourrée II	1717	12	0.667
Bach	Suite No. 6 in D major	Gavotte II	1717	24	0.667
Beethoven	Sonata no. 6	Menuetto: Allegretto	1796	170	0.667
Beethoven	Sonata no. 18	Scherzo: Allegretto vivace	1802	169	0.667
Beethoven	Sonata no. 21 'Waldstein'	Introduzione: Adagio molto	1803	28	0.667
Mozart	Piano Sonata no. 5 in G major	Andante	1775	39	0.667
Beethoven	Sonata no. 1	Adagio	1793	61	0.647
Mozart	Piano Sonata no. 16 in C major	Rondo – Allegretto	1788	73	0.643
Beethoven	Sonata no. 10	Scherzo: Allegro assai	1799	254	0.636
Mozart	Piano Sonata no. 14 in C minor	Adagio	1784	57	0.636
Mozart	Piano Sonata no. 10 in C major	Allegro moderato	1783	150	0.621
Mozart	Piano Sonata no. 2 in F major	Allegro assai	1775	144	0.615
Mozart	Piano Sonata no. 18 in D major	Adagio	1789	67	0.615
Bach	English Suite No. 2	Bourrée II		24	0.600
Bach	English Suite No. 3	Gigue		44	0.600
Bach	French Suite No. 2	Gigue	1722	84	0.600
Bach	French Suite No. 3	Sarabande	1722	24	0.600
Bach	French Suite No. 3	Gigue	1722	68	0.600
Bach	French Suite No. 5	Gigue	1722	56	0.600
Bach	French Suite No. 6	Sarabande	1722	24	0.600
Bach	Suite No. 4 in E-flat major	Prelude	1717	91	0.600
Beethoven	Sonata no. 18	Allegro	1802	253	0.600
Mozart	Piano Sonata no. 13 in B flat major	Andante cantabile	1783	82	0.600
Mozart	Piano Sonata no. 16 in C major	Allegro	1788	73	0.600
Beethoven	Sonata no. 21 'Waldstein'	Rondo: Allegretto moderato - Prestissimo	1803	543	0.583
Mozart	Piano Sonata no. 14 in C minor	Allegro assai	1784	319	0.583
Beethoven	Sonata no. 20	Tempo di Menuetto	1795	120	0.579
Bach	English Suite No. 1	Double II		24	0.571
Bach	English Suite No. 3	Courante		32	0.571
Bach	English Suite No. 3	Gavotte I		34	0.571
Bach	English Suite No. 5	Sarabande		24	0.571
Bach	English Suite No. 6	Gigue		56	0.571
Bach	French Suite No. 6	Courante	1722	32	0.571
Bach	Suite No. 5 in C minor	Gigue	1717	72	0.571
Beethoven	Sonata no. 3	Scherzo: Allegro	1794	127	0.571
Beethoven	Sonata no. 21 'Waldstein'	Allegro con brio	1803	302	0.571
Beethoven	Sonata no. 23 ('Appassionata')	Allegro ma non troppo - Presto	1804	361	0.571
Mozart	Piano Sonata no. 2 in F major	Adagio	1775	60	0.571
Mozart	Piano Sonata no. 9 in D major	Allegro maestoso	1778	112	0.571
Beethoven	Sonata no. 2	Rondo: Grazioso	1794	187	0.567
Mozart	Piano Sonata no. 2 in F major	Presto	1775	190	0.562
Beethoven	Sonata no. 7	Presto	1797	344	0.561
Bach	English Suite No. 4	Prelude		108	0.560
Beethoven	Sonata no. 6	Allegro	1796	202	0.560
Beethoven	Sonata no. 8 'Pathetique'	Rondo: Allegro	1797	210	0.560
Bach	English Suite No. 2	Bourrée I		56	0.556
Bach	English Suite No. 6	Gavotte I		32	0.556
Beethoven	Sonata no. 1	Menuetto and Trio: Allegretto	1793	73	0.556
Mozart	Piano Sonata no. 4 in E flat major	Menuetto I and Menuetto II	1775	72	0.556
Mozart	Piano Sonata no. 5 in G major	Presto	1775	277	0.556
Mozart	Piano Sonata no. 1 in C major	Allegro	1775	100	0.550
Mozart	Piano Sonata no. 3 in B flat major	Rondeau – Allegro	1775	162	0.548
Bach	English Suite No. 2	Gigue		74	0.545
Bach	English Suite No. 5	Passepied I		80	0.545
Mozart	Piano Sonata no. 10 in C major	Andante cantabile	1783	64	0.545
Mozart	Piano Sonata no. 15 in F major	Allegro	1788	239	0.538
Mozart	Piano Sonata no. 13 in B flat major	Allegro	1783	165	0.536
Mozart	Piano Sonata no. 17 in B flat major	Allegretto	1789	89	0.533
Mozart	Piano Sonata no. 5 in G major	Allegro	1775	120	0.529
Mozart	Piano Sonata no. 11 in A major	Andante grazioso	1783	134	0.512
Beethoven	Sonata no. 16	Rondo: Allegretto - presto	1802	275	0.511
Bach	English Suite No. 1	Sarabande		32	0.500
Bach	English Suite No. 1	Gigue		40	0.500
Bach	French Suite No. 2	Allemande	1722	18	0.500
Bach	French Suite No. 2	Courante	1722	57	0.500
Bach	French Suite No. 3	Allemande	1722	24	0.500
Bach	French Suite No. 5	Gavotte	1722	24	0.500
Bach	French Suite No. 5	Loure	1722	16	0.500
Bach	French Suite No. 6	Bourrée	1722	42	0.500
Bach	Suite No. 4 in E-flat major	Bourrée I	1717	48	0.500
Bach	Suite No. 5 in C minor	Prelude	1717	223	0.500
Bach	Suite No. 5 in C minor	Allemande	1717	36	0.500
Bach	Suite No. 5 in C minor	Courante	1717	24	0.500
Bach	Suite No. 5 in C minor	Sarabande	1717	20	0.500
Bach	Suite No. 6 in D major	Prelude	1717	104	0.500
Bach	Partita in A minor	Sarabande	1722	46	0.500
Beethoven	Sonata no. 2	Largo appassionato	1794	80	0.500
Beethoven	Sonata no. 5	Allegro molto e con brio	1795	284	0.500
Beethoven	Sonata no. 17	Adagio	1802	103	0.500
Mozart	Piano Sonata no. 11 in A major	Menuetto and Trio	1783	100	0.500
Mozart	Piano Sonata no. 12 in F major	Allegro assai	1783	245	0.500
Mozart	Piano Sonata no. 18 in D major	Allegretto	1789	189	0.500
Mozart	Piano Sonata no. 7 in C major	Rondeau – Allegretto grazioso	1777	252	0.481
Mozart	Piano Sonata no. 11 in A major	Alla Turca	1783	127	0.481
Beethoven	Sonata no. 18	Presto con fuoco	1802	333	0.480
Beethoven	Sonata no. 5	Finale: Prestissimo	1795	122	0.478
Beethoven	Sonata no. 9	Allegretto	1798	178	0.476
Mozart	Piano Sonata no. 7 in C major	Allegro con spirito	1777	155	0.476
Mozart	Piano Sonata no. 17 in B flat major	Adagio	1789	55	0.476
Mozart	Piano Sonata no. 9 in D major	Presto	1778	269	0.471
Beethoven	Sonata no. 30	Prestissimo	1820	177	0.467
Bach	English Suite No. 3	Prelude		213	0.462
Beethoven	Sonata no. 6	Presto	1796	150	0.462
Beethoven	Sonata no. 16	Allegro vivace	1802	325	0.459
Beethoven	Sonata no. 20	Allegro ma non troppo	1795	122	0.458
Beethoven	Sonata no. 18	Menuetto: Moderato e grazioso	1802	61	0.455
Mozart	Piano Sonata no. 17 in B flat major	Allegro	1789	209	0.455
Mozart	Piano Sonata no. 6 in D major	Andante	1775	260	0.453
Bach	French Suite No. 5	Sarabande	1722	40	0.444
Beethoven	Sonata no. 1	Prestissimo	1793	196	0.444
Mozart	Piano Sonata no. 3 in B flat major	Allegro	1775	109	0.444
Beethoven	Sonata no. 8 'Pathetique'	Grave: Allegro di molto e con brio	1797	310	0.441
Beethoven	Sonata no. 32	Maestoso - Allegro con brio ed appassionato	1821	157	0.438
Mozart	Piano Sonata no. 18 in D major	Allegro	1789	160	0.438
Bach	English Suite No. 6	Prelude		195	0.435
Beethoven	Sonata no. 3	Allegro assai	1794	312	0.433
Bach	English Suite No. 6	Double		24	0.429
Bach	French Suite No. 3	Courante	1722	28	0.429
Bach	Suite No. 3 in C major	Gigue	1717	108	0.429
Bach	Suite No. 4 in E-flat major	Sarabande	1717	32	0.429
Bach	Suite No. 5 in C minor	Gavotte I	1717	36	0.429
Bach	Suite No. 6 in D major	Gavotte I	1717	28	0.429
Beethoven	Sonata no. 10	Allegro	1799	200	0.429
Mozart	Piano Sonata no. 15 in F major	Rondo – Allegretto	1788	187	0.423
Beethoven	Sonata no. 5	Adagio molto	1795	112	0.417
Mozart	Piano Sonata no. 6 in D major	Allegro	1775	127	0.417
Beethoven	Sonata no. 19	Andante	1797	110	0.409
Bach	English Suite No. 1	Allemande		32	0.400
Bach	English Suite No. 2	Prelude		164	0.400
Bach	English Suite No. 3	Agréments de la Sarabande		24	0.400
Bach	English Suite No. 4	Gigue		52	0.400
Bach	English Suite No. 5	Passepied II		24	0.400
Bach	English Suite No. 6	Sarabande		24	0.400
Bach	French Suite No. 1	Courante	1722	24	0.400
Bach	French Suite No. 6	Gavotte	1722	20	0.400
Bach	French Suite No. 6	Polonaise	1722	24	0.400
Beethoven	Sonata no. 1	Allegro	1793	152	0.400
Beethoven	Sonata no. 3	Adagio	1794	82	0.400
Mozart	Piano Sonata no. 1 in C major	Andante	1775	74	0.400
Mozart	Piano Sonata no. 1 in C major	Allegro	1775	158	0.400
Mozart	Piano Sonata no. 4 in E flat major	Allegro	1775	102	0.400
Mozart	Piano Sonata no. 12 in F major	Adagio	1783	40	0.400
Beethoven	Sonata no. 2	Allegro vivace	1794	336	0.391
Mozart	Piano Sonata no. 9 in D major	Andante cantabile con espressione	1778	93	0.391
Bach	English Suite No. 3	Allemande		24	0.375
Bach	English Suite No. 4	Allemande		24	0.375
Bach	English Suite No. 4	Menuett II		32	0.375
Beethoven	Sonata no. 24	Adagio cantabile - Allegro ma non broppo	1809	105	0.375
Beethoven	Sonata no. 26 'Les Adieux'	Das Wiedersehen: Vivacissimamente	1809	196	0.375
Mozart	Piano Sonata no. 7 in C major	Andante un poco adagio	1777	79	0.375
Mozart	Piano Sonata no. 10 in C major	Allegretto	1783	171	0.371
Mozart	Piano Sonata no. 15 in F major	Andante	1788	122	0.357
Mozart	Piano Sonata no. 12 in F major	Allegro	1783	229	0.343
Bach	English Suite No. 1	Bourrée II		36	0.333
Bach	English Suite No. 2	Allemande		24	0.333
Bach	English Suite No. 2	Sarabande		28	0.333
Bach	English Suite No. 2	Agréments de la Sarabande		28	0.333
Bach	English Suite No. 3	Gavotte II		16	0.333
Bach	French Suite No. 1	Menuett II	1722	40	0.333
Bach	French Suite No. 1	Gigue	1722	28	0.333
Bach	Suite No. 6 in D major	Sarabande	1717	32	0.333
Bach	Suite No. 6 in D major	Gigue	1717	68	0.333
Beethoven	Sonata no. 17	Largo: Allegro	1802	228	0.333
Mozart	Piano Sonata no. 13 in B flat major	Allegretto grazioso	1783	224	0.324
Mozart	Piano Sonata no. 8 in A minor	Rondeau – Allegro	1777	252	0.324
Beethoven	Sonata no. 31	Adagio ma non troppo - Allegro ma non troppo	1821	212	0.316
Mozart	Piano Sonata no. 3 in B flat major	Andante amoroso	1775	106	0.316
Beethoven	Sonata no. 31	Moderato cantabile molto espressivo	1821	116	0.308
Mozart	Piano Sonata no. 6 in D major	Rondo en Polonaise - Andante	1775	92	0.308
Mozart	Piano Sonata no. 8 in A minor	Andante con espressione	1777	86	0.294
Beethoven	Sonata no. 30	Vivace ma non troppo - Adagio espressivo	1820	99	0.286
Beethoven	Sonata no. 3	Allegro con brio	1794	257	0.282
Beethoven	Sonata no. 7	Rondo	1797	113	0.273
Mozart	Piano Sonata no. 4 in E flat major	Adagio	1775	36	0.273
Beethoven	Sonata no. 23 ('Appassionata')	Allegro assai	1804	262	0.270
Beethoven	Sonata no. 31	Allegro molto	1821	158	0.250
Mozart	Piano Sonata no. 8 in A minor	Allegro con spirito	1777	133	0.222
Bach	English Suite No. 3	Sarabande		24	0.200
Beethoven	Sonata no. 9	Allegro	1798	161	0.200
Beethoven	Sonata no. 32	Arietta: Adagio molto semplice e cantabile	1821	177	0.147
Bach	French Suite No. 5	Courante	1722	32	0.143
Bach	French Suite No. 1	Allemande	1722	24	0.125
Beethoven	Sonata no. 7	Menuetto: Allegro	1797	86	0.125
Beethoven	Sonata no. 30	Gesangvoll, mit innigster Empfindung: Andante molto cantabile ed espressivo	1820	203	0.109
Bach	English Suite No. 5	Prelude		156	0.105
Beethoven	Sonata no. 24	Allegro vivace	1809	183	0.087
Beethoven	Sonata no. 26 'Les Adieux'	Das Lebewohl: Adagio - Allegro	1809	255	0.069
Beethoven	Sonata no. 26 'Les Adieux'	Abwesenheit: Andante espressivo	1809	42	0.000

Source

DCML corpora (Digital and Cognitive Musicology Lab, EPFL): Beethoven string quartets (ABC; Neuwirth, Harasim, Moss & Rohrmeier 2018), Beethoven piano sonatas (Hentschel et al. 2024), Bach English and French Suites and solo works (Hentschel et al. 2025), Bach chorales (converted from Kaiser 2002), Mozart's 18 piano sonatas (Hentschel, Neuwirth & Rohrmeier 2021, after the Neue Mozart-Ausgabe; added in 1.1). Note, measure and harmony tables extracted from MuseScore files with ms3. https://github.com/DCMLab · License: CC BY-NC-SA 4.0 (chorales: CC0 1.0)

score_metrics_by_movement.csv score_metrics_13_by_movement.csv