Topic: Studloco vs Rodan the Flying Monster

1 scales

Thread (1 messages)

From: Gene Ward Smith (2007-02-16)
Subject: Studloco vs Rodan the Flying Monster

"Studloco" is the somewhat whimsical name which has been attached to 
Miracle[41], 41 notes to the octave in a chain of 40 secors. "Rodan" is 
the 41&87 temperament, with truncated 13-limit wedgie <<3 17 -1 -13 -
22 ...||. From this you can see, if you read these things, that the 
generator is an 8/7 and the period an octave.

It's been pointed out that Studloco contains the entire 11-limit 
tonality diamond with the exception of 11/10 and 20/11, which falls 
between -19 and +19 secors. Studloco we can take as between -20 and +20 
secors, and it has three copies of this truncated tonality diamond in 
it. Studloco has about the same number of notes as the Partch Genesis 
scale, and people have had fun compariing the two.

I want to point out here that Rodan[41] is remarkably similar to 
Studloco, and in some ways better. Rodan[41] also has everything in the 
11-limit diamond with the exception of 11/10 and 20/11 between -19 and 
+19 generators, and we similarly have three copies of this truncated 
diamond between -20 and +20 generators. The tuning accuracies are 
comparable--a good rodan tuning being 128-et. But rodan is a much 
better 13-limit temperament than miracle, and has many 13-limit 
intervals, in better tune than 72-et allows, inside of the compass of 
Rodan[41].

The complexity of 3/2 in rodan is 3 rather than 6, of 7/4 is 1 rather 
than 2, and of 7/6 is 4 rather than 8. 11/8 has a complexity of 13 as 
opposed to miracle's 15. Rodan is high-complexity for 5/4: 17 as 
opposed to 7. But the tuning world is overrun with people who seem to 
get along fine without much 5 in their music, and certainly you still 
get plenty of it in Rodan[41]. The complexity of 13/8 is 22 in rodan, 
which is pretty high, but better than the secor complexity of 34 (or 
38, in the other direction) it has in 72-et. Rodan really does much 
better at working the 13-limit into the picture.

Here's Rodan[41] in 128-et:

! rodan41.scl
Rodan[41] in 128-et tuning
41
!
28.125
56.250
84.375
112.500
150.000
178.125
206.250
234.375
262.500
290.625
318.750
346.875
384.375
412.500
440.625
468.750
496.875
525.000
553.125
581.250
618.750
646.875
675.000
703.125
731.250
759.375
787.500
815.625
853.125
881.250
909.375
937.500
965.625
993.750
1021.875
1050.000
1087.500
1115.625
1143.750
1171.875
1200.000