Topic: Some 19 note scales

3 scales

Thread (1 messages)

From: Gene Ward Smith (2005-07-06)
Subject: Some 19 note scales

Here are a few 19 note scales in line with the discussion of these;
however, I do not present them in terms of an equal temperament.

Here's the marvel-tempered 19 note 5-limit dwarf scale ("marvelous
dwarf".) It's related to one of Erv Wilson's scales.

tetrads

5 major
5 minor
6 supermajor
5 subminor

triads

12 major
11 minor
8 supermajor
8 subminor

! dwarf19marv.scl
Marvelous dwarf: 1/4 kleismic dwarf(<19 30 44|) = inverse wilson1
19
!
68.744546
115.587047
200.054240
268.798786
315.641287
384.385833
431.228334
499.972880
584.440073
631.282574
700.027120
768.771666
815.614167
884.358713
931.201214
1015.668407
1084.412953
1131.255454
1200.000000
! ten tetrads/pentads
! representible as [[0, 1, 2], [0, 0, 2], [0, -1, -2], [0, 0, 1], [-1,
1, 2], 
! [-1, 0, -1],[-1, 0, 0], [-1, 0, 1], [-1, 1, 1], [0, -1, -1]]



Here is the "marvel byzantine" scale we've been discussing. I think
this is another of those marvel-tempered Fokker block scales.

tetrads

5 major
5 minor
4 supermajor
4 subminor

triads

9 major
9 minor
6 supermajor
6 subminor

! marvbiz.scl
1/4 kleismic tempered marvel "byzantine" scale
19
!
84.467193
115.587047
200.054240
268.798786
315.641287
384.385833
431.228334
499.972880
584.440073
615.559927
700.027120
768.771666
815.614167
884.358713
931.201214
999.945760
1084.412953
1115.532807
1200.000000

Here's a detempered sensi (semisixths) MOS, detempered to 245/243
planar. This makes for an enormous improvement in the tuning, so that
it falls into the range of acceptibility for Joe's purposes.

tetrads

4 major
4 minor
8 supermajor
8 subminor

triads

8 major
8 minor
11 supermajor
11 subminor

! boop19.scl
19 note detempered sensi MOS boop (245/243) scale, rms tuning
19
!
54.196169
122.781755
176.977924
263.949327
318.145497
386.731082
440.927252
495.123421
582.094824
617.905176
704.876579
759.072748
813.268918
881.854503
936.050673
1023.022076
1077.218245
1145.803831
1200.000000