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Table 4 Top-5, middle-6, and bottom-5 composers as ranked by relative richness R, entropy S, and average filling \(\langle F \rangle \)

From: Heaps’ law and vocabulary richness in the history of classical music harmony

Rank by R

R

Rank by S

S (bits)

Rank by 〈F

F

Hindemith

1.683

Stravinsky

9.945

Medtner

4.462

Rajmáninov

1.680

Mahler

9.914

Rajmáninov

4.316

Stravinsky

1.595

Rajmáninov

9.777

Stravinsky

4.314

Gershwin

1.530

Hindemith

9.746

Reger

4.285

Bartók

1.521

Gershwin

9.709

Gershwin

4.087

Grieg

0.212

Mendelssohn

8.265

Scheidt

3.277

Berlioz

0.150

Clementi

8.222

Gesualdo

3.266

Gottschalk

0.130

Schubert

8.190

Liszt

3.258

Satie

0.112

Cramer

8.065

Albrechtsberger

3.257

Paganini

0.057

Scarlatti

7.984

Fauré

3.256

Guilmant

0.016

Pachelbel

7.898

Dowland

3.255

Dufay

−1.663

Scheidt

6.169

Bizet

2.906

Desprez

−1.714

Morales

6.128

Messiaen

2.791

Palestrina

−2.087

Victoria

5.982

Lully

2.756

Morales

−2.277

Palestrina

5.938

Dufay

2.751

Victoria

−2.492

Lassus

5.803

Paganini

2.621