Revision as of 12:26, 21 February 2025

Expanding tonal space

Don't forget about the function

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

plane of tonal space.

@@ Line 26: / Line 26: @@
 ! Mode<br />found in<br />octave<br />number
 |-
-| <br />16
+| 16
-| <br />8
+| 8
-| <br />79
+| 79
-| <br />120
+| 120
-| <br />5
+| 5
 |-
 | <br />15

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

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

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