Euler Genus Creator

This tool creates a tone collection (genus)¹ based on historical principles laid out by the 18th century mathematician Leonhard Euler.

Step 1: Define the least common multiple (exponens) of the tone collection

2n	· 33	· 52	· 70

Step 2: Define the root note of the tone collection

	as 2n	· 31	· 51	· 70

Step 3:

Footnotes

¹ Tone collections, or genera: Euler 1739, chapters 8-10.

Sources

Euler, Leonhard. Tentamen novae theoriae musicae. St. Petersburg: Typographia Academiae Scientiarum, 1739.
Original | Translation

Euler, Leonhard. "Conjecture sur la raison de quelques dissonances generalement recues dans la musique".
In: Memoires de l'academie des sciences de Berlin, vol. 20, pp. 165-173. Berlin, 1766.
Original | Translation

Euler, Leonhard. "De harmoniae veris principiis per speculum musicum repraesentatis".
In: Novi commentarii academiae scientarium Petropolitanae, vol. 18, pp. 330-353. St. Petersburg, 1774.
Original | Translation