User:Contribution/17-EDO resources: Difference between revisions

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= MOS Regular Temperaments =
= MOS Regular Temperaments =
=== Period: 17\17, Generator: 2\17 ===
{| class="wikitable"
|
{| class="wikitable"
|+15 2
|-
|neu7
|0, 15
|-
|neu2
|0, 2
|}
|
{| class="wikitable"
|+13 2 2
|-
|Maj6 neu7
|0, 13, 15
|-
|neu2 min3
|0, 2, 4
|-
|neu2 neu7
|0, 2, 15
|}
|
{| class="wikitable"
|+11 2 2 2
|-
|min6 Maj6 neu7
|0, 11, 13, 15
|-
|neu2 min3 Maj3
|0, 2, 4, 6
|-
|neu2 min3 neu7
|0, 2, 4, 15
|-
|neu2 Maj6 neu7
|0, 2, 13, 15
|}
|
{| class="wikitable"
|+9 2 2 2 2
|-
|neu5-Aug4 min6 Maj6 neu7
|0, 9, 11, 13, 15
|-
|neu2 min3 Maj3 neu4-dim5
|0, 2, 4, 6, 8
|-
|neu2 min3 Maj3 neu7
|0, 2, 4, 6, 15
|-
|neu2 min3 Maj6 neu7
|0, 2, 4, 13, 15
|-
|neu2 min6 Maj6 neu7
|0, 2, 11, 13, 15
|}
|
{| class="wikitable"
|+7 2 2 2 2 2
|-
|4 neu5-Aug4 min6 Maj6 neu7
|0, 7, 9, 11, 13, 15
|-
|neu2 min3 Maj3 neu4-dim5 5
|0, 2, 4, 6, 8, 10
|-
|neu2 min3 Maj3 neu4-dim5 neu7
|0, 2, 4, 6, 8, 15
|-
|neu2 min3 Maj3 Maj6 neu7
|0, 2, 4, 6, 13, 15
|-
|neu2 min3 min6 Maj6 neu7
|0, 2, 4, 11, 13, 15
|-
|neu2 neu5-Aug4 min6 Maj6 neu7
|0, 2, 9, 11, 13, 15
|}
|
{| class="wikitable"
|+5 2 2 2 2 2 2
|-
|neu3 4 neu5-Aug4 min6 Maj6 neu7
|0, 5, 7, 9, 11, 13, 15
|-
|neu2 min3 Maj3 neu4-dim5 5 neu6
|0, 2, 4, 6, 8, 10, 12
|-
|neu2 min3 Maj3 neu4-dim5 5 neu7
|0, 2, 4, 6, 8, 10, 15
|-
|neu2 min3 Maj3 neu4-dim5 Maj6 neu7
|0, 2, 4, 6, 8, 13, 15
|-
|neu2 min3 Maj3 min6 Maj6 neu7
|0, 2, 4, 6, 11, 13, 15
|-
|neu2 min3 neu5-Aug4 min6 Maj6 neu7
|0, 2, 4, 9, 11, 13, 15
|-
|neu2 4 neu5-Aug4 min6 Maj6 neu7
|0, 2, 7, 9, 11, 13, 15
|}
|
{| class="wikitable"
|+3 2 2 2 2 2 2 2
|-
|Maj2 neu3 4 neu5-Aug4 min6 Maj6 neu7
|0, 3, 5, 7, 9, 11, 13, 15
|-
|neu2 min3 Maj3 neu4-dim5 5 neu6 min7
|0, 2, 4, 6, 8, 10, 12, 14
|-
|neu2 min3 Maj3 neu4-dim5 5 neu6 neu7
|0, 2, 4, 6, 8, 10, 12, 15
|-
|neu2 min3 Maj3 neu4-dim5 5 Maj6 neu7
|0, 2, 4, 6, 8, 10, 13, 15
|-
|neu2 min3 Maj3 neu4-dim5 min6 Maj6 neu7
|0, 2, 4, 6, 8, 11, 13, 15
|-
|neu2 min3 Maj3 neu5-Aug4 min6 Maj6 neu7
|0, 2, 4, 6, 9, 11, 13, 15
|-
|neu2 min3 4 neu5-Aug4 min6 Maj6 neu7
|0, 2, 4, 7, 9, 11, 13, 15
|-
|neu2 neu3 4 neu5-Aug4 min6 Maj6 neu7
|0, 2, 5, 7, 9, 11, 13, 15
|}
|
{| class="wikitable"
|+2 2 2 2 2 2 2 2 1
|-
|neu2 min3 Maj3 neu4-dim5 5 neu6 min7 Maj7
|0, 2, 4, 6, 8, 10, 12, 14, 16
|-
|neu2 min3 Maj3 neu4-dim5 5 neu6 min7 neu7
|0, 2, 4, 6, 8, 10, 12, 14, 15
|-
|neu2 min3 Maj3 neu4-dim5 5 neu6 Maj6 neu7
|0, 2, 4, 6, 8, 10, 12, 13, 15
|-
|neu2 min3 Maj3 neu4-dim5 5 min6 Maj6 neu7
|0, 2, 4, 6, 8, 10, 11, 13, 15
|-
|neu2 min3 Maj3 neu4-dim5 neu5-Aug4 min6 Maj6 neu7
|0, 2, 4, 6, 8, 9, 11, 13, 15
|-
|neu2 min3 Maj3 4 neu5-Aug4 min6 Maj6 neu7
|0, 2, 4, 6, 7, 9, 11, 13, 15
|-
|neu2 min3 neu3 4 neu5-Aug4 min6 Maj6 neu7
|0, 2, 4, 5, 7, 9, 11, 13, 15
|-
|neu2 Maj2 neu3 4 neu5-Aug4 min6 Maj6 neu7
|0, 2, 3, 5, 7, 9, 11, 13, 15
|-
|min2 Maj2 neu3 4 neu5-Aug4 min6 Maj6 neu7
|0, 1, 3, 5, 7, 9, 11, 13, 15
|}
|}

Revision as of 21:07, 30 November 2025

Mapping

sharpness = 2 ; L = 3 ; s = 1

Degree Name Cents Approximate Ratios Approximate Ratios Cents Name Degree
0 root 0.0 1/1 2/1 1200.0 octave 17
1 min2 70.6 25/24 48/25 1129.4 Maj7 16
2 neu2 141.2 14/13, 13/12, 12/11 11/6, 24/13, 13/7 1058.8 neu7 15
3 Maj2 211.8 9/8, 8/7 7/4, 16/9 988.2 min7 14
4 min3 282.4 20/17, 13/11 22/13, 17/10 917.6 Maj6 13
5 neu3 352.9 11/9, 16/13 13/8, 18/11 847.1 neu6 12
6 Maj3 423.5 14/11, 23/18 36/23, 11/7 776.5 min6 11
7 4 494.1 4/3 3/2 705.9 5 10
8 neu4, dim5 564.7 18/13 13/9 635.3 neu5, Aug4 9

Some chords

Triads

Maj2 5 0, 3, 10
4 min7 0, 7, 14
4 5 0, 7, 10
5 min7 0, 10, 14
min3 4 0, 4, 7
Maj2 Maj6 0, 3, 13
5 Maj6 0, 10, 13
Maj2 4 0, 3, 7
min3 min7 0, 4, 14
Maj3 5 0, 6, 10
min3 min6 0, 4, 11
4 Maj6 0, 7, 13
min3 5 0, 4, 10
Maj3 Maj6 0, 6, 13
4 min6 0, 7, 11
neu3 5 0, 5, 10
neu3 neu6 0, 5, 12
4 neu6 0, 7, 12
5 neu7 0, 10, 15
neu3 4 0, 5, 7
neu2 neu6 0, 2, 12
5 neu6 0, 10, 12
neu2 4 0, 2, 7
neu3 neu7 0, 5, 15
neu2 5 0, 2, 10
neu4 neu7 0, 8, 15
4 neu5 0, 7, 9
neu4 5 0, 8, 10
neu2 neu5 0, 2, 9
4 neu7 0, 7, 15
5 Maj7 0, 10, 16
Maj3 4 0, 6, 7
min2 min6 0, 1, 11
5 min6 0, 10, 11
min2 4 0, 1, 7
Maj3 Maj7 0, 6, 16
min2 5 0, 1, 10
Aug4 Maj7 0, 9, 16
4 dim5 0, 7, 8
Aug4 5 0, 9, 10
min2 dim5 0, 1, 8
4 Maj7 0, 7, 16
Maj2 min7 0, 3, 14
min6 min7 0, 11, 14
Maj2 Maj3 0, 3, 6
Maj2 min6 0, 3, 11
dim5 min7 0, 8, 14
Maj3 Aug4 0, 6, 9
Maj2 Aug4 0, 3, 9
Maj3 min7 0, 6, 14
dim5 min6 0, 8, 11
min3 Maj6 0, 4, 13
Aug4 Maj6 0, 9, 13
min3 dim5 0, 4, 8

Tetrads

Pentads

Hexads

Heptads

Octads

MOS Regular Temperaments

Period: 17\17, Generator: 2\17

15 2
neu7 0, 15
neu2 0, 2
13 2 2
Maj6 neu7 0, 13, 15
neu2 min3 0, 2, 4
neu2 neu7 0, 2, 15
11 2 2 2
min6 Maj6 neu7 0, 11, 13, 15
neu2 min3 Maj3 0, 2, 4, 6
neu2 min3 neu7 0, 2, 4, 15
neu2 Maj6 neu7 0, 2, 13, 15
9 2 2 2 2
neu5-Aug4 min6 Maj6 neu7 0, 9, 11, 13, 15
neu2 min3 Maj3 neu4-dim5 0, 2, 4, 6, 8
neu2 min3 Maj3 neu7 0, 2, 4, 6, 15
neu2 min3 Maj6 neu7 0, 2, 4, 13, 15
neu2 min6 Maj6 neu7 0, 2, 11, 13, 15
7 2 2 2 2 2
4 neu5-Aug4 min6 Maj6 neu7 0, 7, 9, 11, 13, 15
neu2 min3 Maj3 neu4-dim5 5 0, 2, 4, 6, 8, 10
neu2 min3 Maj3 neu4-dim5 neu7 0, 2, 4, 6, 8, 15
neu2 min3 Maj3 Maj6 neu7 0, 2, 4, 6, 13, 15
neu2 min3 min6 Maj6 neu7 0, 2, 4, 11, 13, 15
neu2 neu5-Aug4 min6 Maj6 neu7 0, 2, 9, 11, 13, 15
5 2 2 2 2 2 2
neu3 4 neu5-Aug4 min6 Maj6 neu7 0, 5, 7, 9, 11, 13, 15
neu2 min3 Maj3 neu4-dim5 5 neu6 0, 2, 4, 6, 8, 10, 12
neu2 min3 Maj3 neu4-dim5 5 neu7 0, 2, 4, 6, 8, 10, 15
neu2 min3 Maj3 neu4-dim5 Maj6 neu7 0, 2, 4, 6, 8, 13, 15
neu2 min3 Maj3 min6 Maj6 neu7 0, 2, 4, 6, 11, 13, 15
neu2 min3 neu5-Aug4 min6 Maj6 neu7 0, 2, 4, 9, 11, 13, 15
neu2 4 neu5-Aug4 min6 Maj6 neu7 0, 2, 7, 9, 11, 13, 15
3 2 2 2 2 2 2 2
Maj2 neu3 4 neu5-Aug4 min6 Maj6 neu7 0, 3, 5, 7, 9, 11, 13, 15
neu2 min3 Maj3 neu4-dim5 5 neu6 min7 0, 2, 4, 6, 8, 10, 12, 14
neu2 min3 Maj3 neu4-dim5 5 neu6 neu7 0, 2, 4, 6, 8, 10, 12, 15
neu2 min3 Maj3 neu4-dim5 5 Maj6 neu7 0, 2, 4, 6, 8, 10, 13, 15
neu2 min3 Maj3 neu4-dim5 min6 Maj6 neu7 0, 2, 4, 6, 8, 11, 13, 15
neu2 min3 Maj3 neu5-Aug4 min6 Maj6 neu7 0, 2, 4, 6, 9, 11, 13, 15
neu2 min3 4 neu5-Aug4 min6 Maj6 neu7 0, 2, 4, 7, 9, 11, 13, 15
neu2 neu3 4 neu5-Aug4 min6 Maj6 neu7 0, 2, 5, 7, 9, 11, 13, 15
2 2 2 2 2 2 2 2 1
neu2 min3 Maj3 neu4-dim5 5 neu6 min7 Maj7 0, 2, 4, 6, 8, 10, 12, 14, 16
neu2 min3 Maj3 neu4-dim5 5 neu6 min7 neu7 0, 2, 4, 6, 8, 10, 12, 14, 15
neu2 min3 Maj3 neu4-dim5 5 neu6 Maj6 neu7 0, 2, 4, 6, 8, 10, 12, 13, 15
neu2 min3 Maj3 neu4-dim5 5 min6 Maj6 neu7 0, 2, 4, 6, 8, 10, 11, 13, 15
neu2 min3 Maj3 neu4-dim5 neu5-Aug4 min6 Maj6 neu7 0, 2, 4, 6, 8, 9, 11, 13, 15
neu2 min3 Maj3 4 neu5-Aug4 min6 Maj6 neu7 0, 2, 4, 6, 7, 9, 11, 13, 15
neu2 min3 neu3 4 neu5-Aug4 min6 Maj6 neu7 0, 2, 4, 5, 7, 9, 11, 13, 15
neu2 Maj2 neu3 4 neu5-Aug4 min6 Maj6 neu7 0, 2, 3, 5, 7, 9, 11, 13, 15
min2 Maj2 neu3 4 neu5-Aug4 min6 Maj6 neu7 0, 1, 3, 5, 7, 9, 11, 13, 15
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