User:Holger Stoltenberg/sandbox: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
No edit summary
No edit summary
Line 124: Line 124:
|}
|}


{| style="text-align:center;"
|- style="background-color:#6b82c6; color:#ffffff;"
! Counting from <br />Mode 1 <br /> up to <br /> Mode 16
! Number of <br />new intervals <br />found at <br />this mode
! Accumulated <br />number <br />of different  <br />rational intervals
! Total number<br />of intervals<br />scanned
! Mode<br />found in<br />octave<br />number
|-
| style="background-color:#efefef;" | 16
| 8
| 79
| 120
| 5
|-
| style="background-color:#efefef;" | 15
| 8
| 71
| 105
| 4
|-
| style="background-color:#efefef;" | 14
| 6
| 63
| 91
| 4
|-
| style="background-color:#efefef;" | 13
| 12
| 57
| 78
| 4
|-
| style="background-color:#efefef;" | 12
| 4
| 45
| 66
| 4
|-
| style="background-color:#efefef;" | 11
| 10
| 41
| 55
| 4
|-
| style="background-color:#efefef;" | 10
| 4
| 31
| 45
| 4
|-
| style="background-color:#efefef;" | 9
| 6
| 27
| 36
| 4
|-
| style="background-color:#efefef;" | 8
| 4
| 21
| 28
| 4
|-
| style="background-color:#efefef;" | 7
| 6
| 17
| 21
| 3
|-
| style="background-color:#efefef;" | 6
| 2
| 11
| 15
| 3
|-
| style="background-color:#efefef;" | 5
| 4
| 9
| 10
| 3
|-
| style="background-color:#efefef;" | 4
| 2
| 5
| 6
| 3
|-
| style="background-color:#efefef;" | 3
| 2
| 3
| 3
| 2
|-
| style="background-color:#efefef;" | 2
| 1
| 1
| 1
| 2
|-
| style="background-color:#efefef;" | 1
| 0
| 0
| 0
| 1
|}
[[File:Rob Ickes performing with Blue Highway California USA June 2010.jpg|thumb|180px|Rob Ickes performing with his band, Blue Highway, on June 21, 2010.]]
[[File:Rob Ickes performing with Blue Highway California USA June 2010.jpg|thumb|180px|Rob Ickes performing with his band, Blue Highway, on June 21, 2010.]]


Revision as of 17:11, 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 (3rd, b7th) 5 6 3
3 2 (4th, 6th) 3 3 2
2 1 (5th) 1 1 2
1 0 0 0 1


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]

Retrieved from "https://en.xen.wiki/index.php?title=User:Holger_Stoltenberg/sandbox&oldid=182556"