User:Holger Stoltenberg/sandbox: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
experiments with tables
Table test is done.
Line 133: Line 133:
! <span style="font-weight:normal"> Mode<br />found in<br />octave<br />number </span>
! <span style="font-weight:normal"> Mode<br />found in<br />octave<br />number </span>
|-
|-
| style="background-color:#e2e2e2; color:green;" | '''16'''
| style="background-color:#e2e2e2; color:#484848;" | '''16'''
| 8
| 8
| 79
| style="background-color:#e2e2e2;" | 79
| 120
| 120
| 5
| 5
Line 141: Line 141:
| style="background-color:#e2e2e2;" | '''15'''
| style="background-color:#e2e2e2;" | '''15'''
| 8
| 8
| 71
| style="background-color:#e2e2e2;" | 71
| 105
| 105
| 4
| 4
Line 147: Line 147:
| style="background-color:#e2e2e2;" | '''14'''
| style="background-color:#e2e2e2;" | '''14'''
| 6
| 6
| 63
| style="background-color:#e2e2e2;" | 63
| 91
| 91
| 4
| 4
Line 153: Line 153:
| style="background-color:#e2e2e2;" | '''13'''
| style="background-color:#e2e2e2;" | '''13'''
| 12
| 12
| 57
| style="background-color:#e2e2e2;" | 57
| 78
| 78
| 4
| 4
Line 159: Line 159:
| style="background-color:#e2e2e2;" | '''12'''
| style="background-color:#e2e2e2;" | '''12'''
| 4
| 4
| 45
| style="background-color:#e2e2e2;" | 45
| 66
| 66
| 4
| 4
Line 165: Line 165:
| style="background-color:#e2e2e2;" | '''11'''
| style="background-color:#e2e2e2;" | '''11'''
| 10
| 10
| 41
| style="background-color:#e2e2e2;" | 41
| 55
| 55
| 4
| 4
Line 171: Line 171:
| style="background-color:#e2e2e2;" | '''10'''
| style="background-color:#e2e2e2;" | '''10'''
| 4
| 4
| 31
| style="background-color:#e2e2e2;" | 31
| 45
| 45
| 4
| 4
Line 177: Line 177:
| style="background-color:#e2e2e2;" | '''9'''
| style="background-color:#e2e2e2;" | '''9'''
| 6
| 6
| 27
| style="background-color:#e2e2e2;" | 27
| 36
| 36
| 4
| 4
Line 183: Line 183:
| style="background-color:#e2e2e2;" | '''8'''
| style="background-color:#e2e2e2;" | '''8'''
| 4
| 4
| 21
| style="background-color:#e2e2e2;" | 21
| 28
| 28
| 4
| 4
Line 189: Line 189:
| style="background-color:#e2e2e2;" | '''7'''
| style="background-color:#e2e2e2;" | '''7'''
| 6
| 6
| 17
| style="background-color:#e2e2e2;" | 17
| 21
| 21
| 3
| 3
Line 195: Line 195:
| style="background-color:#e2e2e2;" | '''6'''
| style="background-color:#e2e2e2;" | '''6'''
| 2
| 2
| 11
| style="background-color:#e2e2e2;" | 11
| 15
| 15
| 3
| 3
Line 201: Line 201:
| style="background-color:#e2e2e2;" | '''5'''
| style="background-color:#e2e2e2;" | '''5'''
| 4 <small>''(...)''</small>
| 4 <small>''(...)''</small>
| 9
| style="background-color:#e2e2e2;" | 9
| 10
| 10
| 3
| 3
Line 207: Line 207:
| style="background-color:#e2e2e2;" | '''4'''
| style="background-color:#e2e2e2;" | '''4'''
| 2  <small>''(3rd, b7th)''</small>
| 2  <small>''(3rd, b7th)''</small>
| 5
| style="background-color:#e2e2e2;" | 5
| 6
| 6
| 3
| 3
Line 213: Line 213:
| style="background-color:#e2e2e2;" | '''3'''
| style="background-color:#e2e2e2;" | '''3'''
| 2  <small>''(4th, 6th)''</small>
| 2  <small>''(4th, 6th)''</small>
| 3
| style="background-color:#e2e2e2;" | 3
| 3
| 3
| 2
| 2
Line 219: Line 219:
| style="background-color:#e2e2e2;" | '''2'''
| style="background-color:#e2e2e2;" | '''2'''
| 1 <small>''(5th)''</small>
| 1 <small>''(5th)''</small>
| 1
| style="background-color:#e2e2e2;" | 1
| 1
| 1
| 2
| 2
Line 225: Line 225:
| style="background-color:#e2e2e2;" | '''1'''
| style="background-color:#e2e2e2;" | '''1'''
| 0
| 0
| 0
| style="background-color:#e2e2e2;" | 0
| 0
| 0
| 1
| 1

Revision as of 10:44, 23 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


Mode 1
up to
Mode 16
Mode 		Number of
new intervals
found at
this mode 		Aggregated
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
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=182728"