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Seven and eight note Tenney reduced scales

🔗genewardsmith <genewardsmith@juno.com>

3/8/2002 7:15:29 PM

7 notes

5-limit: 1, 9/8, 5/4, 4/3, 3/2, 5/3, 9/5
7-limit: 1, 8/7, 5/4, 4/3, 3/2, 5/3, 7/4
11-limit: same as 7-limit

8 notes

5-limit 1, 10/9, 6/5, 4/3, 25/18, 3/2, 5/3, 9/5

h8 7-limit (not epimorphic):

1, 7/6, 6/5, 4/3, 9/7, 3/2, 5/3, 9/5

h8 + v7 7-limit (epimorphic):

1, 8/7, 6/5, 4/3, 10/7, 3/2, 5/3, 7/4

Here's a 7-free block for 2,3,5,11 h8:

1, 12/11, 6/5, 4/3, 11/8, 3/2, 18/11, 11/6

This vigorously 11-limit scale was toned down to

1, 10/9, 6/5, 4/3, 11/8, 3/2, 5/3, 9/5

by Tenney reduction.