User:UnbihexiumFan/Temperaments

A collection of temperaments that I have found that may or may not have yet been discovered. A lot of these are the same as already-known temperaments but with non-octave periods. I am not very good with technical details so even though they are included as info on most temperaments I will not be putting it here.

Stearnsmic 7/4-period temperaments

While searching for temperaments with period 7/4 and generator 3/2 I found that -8 generators (117649/104976) provides a close approximation of 9/8. The difference between these intervals is 118098/117649, which has apparently already been named the stearnsma. Tempering this comma given mapping generators ~7/4 and ~3/2 gives a pretty nice temperament which is essentially the same as no-five stearnsmic with different generators, which gives easier access to the perfect fifth and to septimal thirds.

Interval chain for the 7/4.2.3 temperament tempering the stearnsma:

# Gens	Cents	Approximate ratios	# Gens	Cents	Approximate ratios
+0	0.00	1/1	-0	968.83	7/4
+1	701.32	3/2	-1	267.51	7/6
+2	433.80	9/7	-2	535.02	49/36

(not completed yet... will finish soon)

has a good 7/4.2.3.13.17 extension that tempers 442/441, 729/728, 289/288