User:Holger Stoltenberg/sandbox: Difference between revisions

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{| class="wikitable" style="text-align:center;"
{| class="wikitable" style="text-align:center;"
|- style="background-color:#efefef;"
|- style="background-color:#efefef;"
! Counting from <br />Mode 1 <br /> up to <br /> Mode n
! Counting from <br />Mode 1 <br /> up to <br /> Mode 16
! Number of <br />new intervals <br />found at <br />this mode
! Number of <br />new intervals <br />found at <br />this mode
! Accumulated <br />number <br />of different  <br />rational intervals
! Accumulated <br />number <br />of different  <br />rational intervals

Revision as of 12:23, 21 February 2025

Expanding tonal space

Expanding tonal space/planar extensions


< User:Holger Stoltenberg

Expanding tonal space/projections


Part I: Expanding tonal space

Don't forget about the function

Part I: Expanding tonal space

Navigating tonal space

This article describes how to ...

Counting from
Mode 1
up to
Mode 16 		Number of
new intervals
found at
this mode 		Accumulated
number
of different
rational intervals 		Total number
of intervals
scanned 		Mode
found in
octave
number

16
8
79
120
5

15
8
71
105
4

14
6
63
91
4

13
12
57
78
4

12
4
45
66
4

11
10
41
55
4

10
4
31
45
4

9
6
27
36
4

8
4
21
28
4

7
6
17
21
3

6
2
11
15
3

5
4
9
10
3

4
2
5
6
3

3
2
3
3
2

2
1
1
1
2

1
0
0
0
1


Rob Ickes performing with his band, Blue Highway, on June 21, 2010.

plane of tonal space.

Heather Leigh-0981
Dobro guitar - Bluegrass Band, Kentucky (2011-10-16 by Navin75)

See also…

Sethares, William A. Tuning Timbre Spectrum Scale. London: Springer Verlag , 1999. [p65, 3.7. Overtone Scales]

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