Guilielmus monachus’s “palmae contrapunctorum”

March 22nd, 2020

An enumeration of every possible consonance within the gamut. From De preceptis artis musice et pratice compendiosus libellus by Guilielmus monachus.
Venice, Biblioteca Marciana, manuscript Lat. Z 336, coll. 1581.

[36] Sequuntur palmae contrapunctorum.
[Here follow the palms of counterpoint.]

Incipiunt palmae contrapunctorum tam quadrati alti quam naturae altae:
[Here begin the palms of counterpoint both with high square ‘b’s as well as high naturals.]
G re 12 mi 13 sol 15
A ut 10 mi 12 [fa] 13 la 15
B re 10 fa 12 sol 13
C ut 8 mi 10 sol 12 la 13
D re 8 fa 10 la 12
E ut [6] mi 8 sol 10
F ut 5 re 6 fa 8 la 10
G re 5 mi 6 sol 8
A ut 3 mi 5 fa 6 la 8
B re 3 fa [5] sol 6
C ut unisonus mi 3 sol 5 la 6
D re unisonus fa 3 la 5
E ut 3 desuper mi unisonus sol 3
F re 3 desuper fa unisonus la 3
G ut 5 desuper mi 3 desuper sol unisonus
A ut 6 desuper re 5 desuper fa 3 desuper la unisonus
B re 6 desuper mi 5 desuper sol 3 desuper
C ut 8 desuper mi 6 desuper fa 5 desuper la 3 desuper
D re 8 desuper fa 6 desuper sol 5 desuper
E ut 10 desuper mi 8 desuper sol 6 desuper la 5 desuper
G ut 8 mi 10 sol 12 la 13
A re 8 fa 10 la 12
B ut 6 mi 8 sol 10
C ut 5 re 6 fa 8 la 10
D re 5 mi 6 sol 8
E ut 3 mi 5 fa 6 la 8
F re 3 fa 5 sol 6
G ut unisonus mi 3 sol 5 la 6
[37]
A re unisonus fa 3 la 5
B ut 3 desuper mi unisonus sol 3
C re 3 desuper fa unisonus la 3
D ut 5 desuper mi 3 desuper sol unisonus
E ut 6 desuper re 5 desuper fa 3 desuper la unisonus
F re 6 [desuper] mi 5 [desuper] sol 3 desuper
G ut [8] desuper mi 6 desuper fa 5 desuper la 3 [desuper]
A re 8 desuper fa 6 desuper sol 5 desuper
B ut 10 [desuper] mi 8 [desuper] sol 6 [desuper] la 5 desuper
C re 10 [desuper] fa 8 [desuper] la 6 [desuper]
D ut 12 [desuper] mi 10 [desuper] sol 6 desuper
E ut 13 [desuper] re 12 [desuper] fa 10 [desuper] la 8 desuper
G ut 15 mi 17 sol 19 la 20
A re 15 fa 17 la 19
B ut 13 mi 15 sol [17]
C ut 12 re 13 fa 15 la 17
D re 12 mi 13 sol 15
E ut 10 mi 12 fa 13 la 15
F re 10 fa 12 sol 13
G ut 8 mi 10 sol 12 la 13
A re 8 fa 10 la 12
B ut 6 mi 8 sol 10
C ut 5 re 6 fa 8 la 10
D re 5 [mi] 6 sol 8
E ut 3 mi 5 fa 6 la 8
F re 3 fa 5 sol 6
G ut unisonus mi 3 sol 5 la 6
A re unisonus fa 3 la 5
B ut 3 desuper mi unisonus sol 3
C re 3 desuper fa unisonus la 3
D ut 5 desuper mi 3 desuper sol unisonus
E ut 6 desuper re 5 desuper fa 3 desuper la unisonus

[38] Finis palmae contrapunctorum.
[Here end the palms of counterpoint.]

From the electronic version prepared by Stephen E. Hayes, Peter M. Lefferts, Bradley Jon Tucker, and Thomas J. Mathiesen for the Thesaurus Musicarum Latinarum, 1992.

Source: Guilielmi monachi De preceptis artis musicae, ed. Albert Seay, Corpus scriptorum de musica, vol. 11 ([Rome]: American Institute of Musicology, 1965), 15–59.