back to list

A Hemiwuerschmidt scale

🔗Gene Ward Smith <gwsmith@svpal.org>

2/12/2004 1:42:14 AM

If I combine shell 0, the unison, with shells 1, 2 and 3, I get a
symmetrical scale of 43 notes which turns out to be an excellent
candidate for tempering by the hemiwuerschmidt temperament (covered by
68, 99 and 130.) This has 41 notes since the two steps of size
2401/2400 in it are nuked. Here it is in TOP tuning:

! hemw.scl
Hemiwuerschmidt TOP tempering of 43 notes of septimal ball 3
41
!
36.757436
46.792679
73.514873
83.550115
110.272314
120.307552
157.064988
183.787187
193.822429
230.579866
267.337302
304.094739
314.129981
350.887417
387.644854
434.437533
471.194969
497.917168
544.709847
581.467283
618.224720
654.982156
701.774835
728.497034
765.254470
812.047149
848.804585
885.562022
895.597264
932.354701
969.112137
1005.869574
1015.904816
1042.627015
1079.384451
1089.419689
1116.141888
1126.177130
1152.899324
1162.934567
1199.692000