Watching it Snow (Hanson 19 of 53 Just Intonation)

Watching it Snow is an edited piano improvisation using M-Audio keystation 88es, Pianoteq, Sonar 8.5, and the Hanson 19 scala tuning file (click the “more” below). That the piece is in Just Intonation is actually an accident! Going by the advice I received from Petr Parízek ( tuning list Message #86387 ) to improvise in Hanson I found Hanson_19.scl and proceeded along with no research whatsoever 🙂 which is how one obtains an inadvertent composition.

This is piece is more melodic than my usual microtonal piece – though I may revise the melody in the beginning sometime in the future to give it more variety.

The score for the piece in pre-translated 12 EDO is here

The piece itself is here

All of the information for the piece is in this folder

! hanson_19.scl
!
JI version of Hanson’s 19 out of 53-tET scale
19
!
25/24
27/25
9/8
125/108
6/5
5/4
125/96
4/3
25/18
36/25
3/2
25/16
8/5
5/3
125/72
9/5
15/8
48/25
2/1

And here are the intervals those ratios turn out to be. Note – in 12 EDO (“normal” tuning) each half step is 100 cents – so any deviation from 100 cents and multiples thereof (200, 300, ….) is “microtonal” even if the name is the same.

Interval class, Number of incidences, Size:

1: 11 25/24 70.672 cents classic chromatic semitone

2: 7 27/25 133.238 cents large limma

3: 7 9/8 203.910 cents major whole tone

4: 7 125/108 253.076 cents semi-augmented whole tone

5: 15 6/5 315.641 cents minor third

6: 12 5/4 386.314 cents major third

7: 6 125/96 456.986 cents classic augmented third

8: 13 4/3 498.045 cents perfect fourth

9: 11 25/18 568.717 cents classic augmented fourth

10: 11 36/25 631.283 cents classic diminished fifth

11: 13 3/2 701.955 cents perfect fifth

12: 7 25/16 772.627 cents classic augmented fifth

13: 12 8/5 813.686 cents minor sixth

14: 15 5/3 884.359 cents major sixth

15: 9 125/72 955.031 cents classic augmented sixth

16: 10 9/5 1017.596 cents just minor seventh

17: 7 15/8 1088.269 cents classic major seventh

18: 11 48/25 1129.328 cents classic diminished octave

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