Mabilic and trismegistus: Difference between revisions

Line 3:

Mabilic can be extended into a full 7-limit temperament called '''trismegistus''' in which 3 is found at 15 steps. Since 5 is at 3 steps, that makes trismegistus a magic temperament. Similarly, since 8/7 is at 5 steps, trismegistus is a slendric temperament.Trismegistus is associated with the MOS scale [[9L 7s]], where 3/2 is found as the "augmented" version of the generator, and 25edo, 41edo, and 66edo make for good tunings.

There is an alternative extension, '''semabila''' ([[Mabila family#Semabila]]), which is a semaphore temperament (hence its name) and thus finds 4/3 at 10 generators.

There is an alternative extension, '''semabila''' ([[Mabila family#Semabila]]), which is a semaphore temperament (hence its name) and thus finds 4/3 at 10 generators. It is best tuned sharper than trismegistus.

Making the generator itself 4/3 leads to the exotemperament [[mavila]], after which mabilic is named.

@@ Line 3: / Line 3: @@
 Mabilic can be extended into a full 7-limit temperament called '''trismegistus''' in which 3 is found at 15 steps. Since 5 is at 3 steps, that makes trismegistus a magic temperament. Similarly, since 8/7 is at 5 steps, trismegistus is a slendric temperament.Trismegistus is associated with the MOS scale [[9L 7s]], where 3/2 is found as the "augmented" version of the generator, and 25edo, 41edo, and 66edo make for good tunings.
-There is an alternative extension, '''semabila''' ([[Mabila family#Semabila]]), which is a semaphore temperament (hence its name) and thus finds 4/3 at 10 generators.
+There is an alternative extension, '''semabila''' ([[Mabila family#Semabila]]), which is a semaphore temperament (hence its name) and thus finds 4/3 at 10 generators. It is best tuned sharper than trismegistus.
 Making the generator itself 4/3 leads to the exotemperament [[mavila]], after which mabilic is named.