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

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Contribution (talk | contribs)
3,348 edits
Line 333: Line 333:
== Octads ==
== Octads ==


= MOS Regular Temperaments =
= Some MOS Regular Temperaments =
MOS modes with 2-9 notes per octave (generator 1\17 excluded).
 
=== Period: 1\17, Generator: 1\17 ===
=== Period: 1\17, Generator: 1\17 ===
uninteresting
uninteresting
Line 595: Line 597:
|}
|}
|
|
{| class="wikitable"
|+2 2 1 2 1 2 1 2 1 2 1
|-
|neu2 min3 neu3 4 neu4 5 min6 Maj6 min7 Maj7
|0, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16
|-
|neu2 Maj2 neu3 Maj3 neu4 neu5 min6 neu6 min7 neu7
|0, 2, 3, 5, 6, 8, 9, 11, 12, 14, 15
|-
|min2 Maj2 min3 Maj3 4 neu5 5 neu6 Maj6 neu7
|0, 1, 3, 4, 6, 7, 9, 10, 12, 13, 15
|-
|neu2 Maj2 neu3 Maj3 neu4 neu5 min6 neu6 min7 Maj7
|0, 2, 3, 5, 6, 8, 9, 11, 12, 14, 16
|-
|min2 Maj2 min3 Maj3 4 neu5 5 neu6 min7 neu7
|0, 1, 3, 4, 6, 7, 9, 10, 12, 14, 15
|-
|neu2 Maj2 neu3 Maj3 neu4 neu5 min6 Maj6 min7 Maj7
|0, 2, 3, 5, 6, 8, 9, 11, 13, 14, 16
|-
|min2 Maj2 min3 Maj3 4 neu5 min6 neu6 min7 neu7
|0, 1, 3, 4, 6, 7, 9, 11, 12, 14, 15
|-
|neu2 Maj2 neu3 Maj3 neu4 5 min6 Maj6 min7 Maj7
|0, 2, 3, 5, 6, 8, 10, 11, 13, 14, 16
|-
|min2 Maj2 min3 Maj3 neu4 neu5 min6 neu6 min7 neu7
|0, 1, 3, 4, 6, 8, 9, 11, 12, 14, 15
|-
|neu2 Maj2 neu3 4 neu4 5 min6 Maj6 min7 Maj7
|0, 2, 3, 5, 7, 8, 10, 11, 13, 14, 16
|-
|min2 Maj2 neu3 Maj3 neu4 neu5 min6 neu6 min7 neu7
|0, 1, 3, 5, 6, 8, 9, 11, 12, 14, 15
|}
|}
|}


Line 658: Line 624:
|0, 4, 13
|0, 4, 13
|}
|}
|-
|
|
{| class="wikitable"
{| class="wikitable"
Line 675: Line 640:
|0, 4, 9, 13
|0, 4, 9, 13
|}
|}
|-
|
|
{| class="wikitable"
{| class="wikitable"
Line 694: Line 660:
|0, 1, 5, 9, 13
|0, 1, 5, 9, 13
|}
|}
|-
|
|
{| class="wikitable"
{| class="wikitable"
Line 727: Line 692:
|}
|}
|
|
{| class="wikitable"
|+2 1 1 2 1 1 2 1 1 2 1 1 1
|-
|neu2 Maj2 min3 Maj3 4 neu4 5 min6 neu6 min7 neu7 Maj7
|0, 2, 3, 4, 6, 7, 8, 10, 11, 12, 14, 15, 16
|-
|min2 neu2 min3 neu3 Maj3 neu4 neu5 5 neu6 Maj6 min7 neu7
|0, 1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 14, 15
|-
|min2 Maj2 min3 neu3 4 neu4 neu5 min6 neu6 Maj6 min7 Maj7
|0, 1, 3, 4, 5, 7, 8, 9, 11, 12, 13, 14, 16
|-
|neu2 Maj2 min3 Maj3 4 neu4 5 min6 neu6 Maj6 neu7 Maj7
|0, 2, 3, 4, 6, 7, 8, 10, 11, 12, 13, 15, 16
|-
|min2 neu2 min3 neu3 Maj3 neu4 neu5 5 min6 Maj6 min7 neu7
|0, 1, 2, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15
|-
|min2 Maj2 min3 neu3 4 neu4 neu5 5 neu6 Maj6 min7 Maj7
|0, 1, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 16
|-
|neu2 Maj2 min3 Maj3 4 neu4 neu5 min6 neu6 Maj6 neu7 Maj7
|0, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 15, 16
|-
|min2 neu2 min3 neu3 Maj3 4 neu5 5 min6 Maj6 min7 neu7
|0, 1, 2, 4, 5, 6, 7, 9, 10, 11, 13, 14, 15
|-
|min2 Maj2 min3 neu3 Maj3 neu4 neu5 5 neu6 Maj6 min7 Maj7
|0, 1, 3, 4, 5, 6, 8, 9, 10, 12, 13, 14, 16
|-
|neu2 Maj2 min3 neu3 4 neu4 neu5 min6 neu6 Maj6 neu7 Maj7
|0, 2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 15, 16
|-
|min2 neu2 Maj2 neu3 Maj3 4 neu5 5 min6 Maj6 min7 neu7
|0, 1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15
|-
|min2 neu2 min3 neu3 Maj3 neu4 neu5 5 neu6 Maj6 min7 Maj7
|0, 1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 14, 16
|-
|min2 Maj2 min3 neu3 4 neu4 neu5 min6 neu6 Maj6 neu7 Maj7
|0, 1, 3, 4, 5, 7, 8, 9, 11, 12, 13, 15, 16
|}
|}
|}


Line 796: Line 719:
|0, 5, 12
|0, 5, 12
|}
|}
|-
|
|
{| class="wikitable"
{| class="wikitable"
Line 812: Line 736:
|0, 2, 7, 12
|0, 2, 7, 12
|}
|}
|-
|
|
{| class="wikitable"
{| class="wikitable"
Line 838: Line 761:
|0, 2, 5, 7, 10, 12, 15
|0, 2, 5, 7, 10, 12, 15
|}
|}
|
{| class="wikitable"
|+2 2 2 1 2 2 1 2 2 1
|-
|neu2 min3 Maj3 4 neu5 min6 neu6 min7 Maj7
|0, 2, 4, 6, 7, 9, 11, 12, 14, 16
|-
|neu2 min3 neu3 4 neu5 5 neu6 min7 neu7
|0, 2, 4, 5, 7, 9, 10, 12, 14, 15
|-
|neu2 Maj2 neu3 4 neu4 5 neu6 Maj6 neu7
|0, 2, 3, 5, 7, 8, 10, 12, 13, 15
|-
|min2 Maj2 neu3 Maj3 neu4 5 min6 Maj6 neu7
|0, 1, 3, 5, 6, 8, 10, 11, 13, 15
|-
|neu2 min3 neu3 4 neu5 5 neu6 min7 Maj7
|0, 2, 4, 5, 7, 9, 10, 12, 14, 16
|-
|neu2 Maj2 neu3 4 neu4 5 neu6 min7 neu7
|0, 2, 3, 5, 7, 8, 10, 12, 14, 15
|-
|min2 Maj2 neu3 Maj3 neu4 5 neu6 Maj6 neu7
|0, 1, 3, 5, 6, 8, 10, 12, 13, 15
|-
|neu2 min3 neu3 4 neu5 min6 neu6 min7 Maj7
|0, 2, 4, 5, 7, 9, 11, 12, 14, 16
|-
|neu2 Maj2 neu3 4 neu5 5 neu6 min7 neu7
|0, 2, 3, 5, 7, 9, 10, 12, 14, 15
|-
|min2 Maj2 neu3 4 neu4 5 neu6 Maj6 neu7
|0, 1, 3, 5, 7, 8, 10, 12, 13, 15
|}
|
|}
|}


Line 947: Line 835:
|min2 neu3 Maj3 5 min6 neu6 Maj7
|min2 neu3 Maj3 5 min6 neu6 Maj7
|0, 1, 5, 6, 10, 11, 12, 16
|0, 1, 5, 6, 10, 11, 12, 16
|}
|-
|
{| class="wikitable"
|+3 1 1 3 1 1 1 3 1 1 1
|-
|Maj2 min3 neu3 neu4 neu5 5 min6 min7 neu7 Maj7
|0, 3, 4, 5, 8, 9, 10, 11, 14, 15, 16
|-
|min2 neu2 neu3 Maj3 4 neu4 min6 neu6 Maj6 min7
|0, 1, 2, 5, 6, 7, 8, 11, 12, 13, 14
|-
|min2 min3 neu3 Maj3 4 5 min6 neu6 Maj6 Maj7
|0, 1, 4, 5, 6, 7, 10, 11, 12, 13, 16
|-
|Maj2 min3 neu3 Maj3 neu5 5 min6 neu6 neu7 Maj7
|0, 3, 4, 5, 6, 9, 10, 11, 12, 15, 16
|-
|min2 neu2 Maj2 Maj3 4 neu4 neu5 neu6 Maj6 min7
|0, 1, 2, 3, 6, 7, 8, 9, 12, 13, 14
|-
|min2 neu2 neu3 Maj3 4 neu4 min6 neu6 Maj6 Maj7
|0, 1, 2, 5, 6, 7, 8, 11, 12, 13, 16
|-
|min2 min3 neu3 Maj3 4 5 min6 neu6 neu7 Maj7
|0, 1, 4, 5, 6, 7, 10, 11, 12, 15, 16
|-
|Maj2 min3 neu3 Maj3 neu5 5 min6 min7 neu7 Maj7
|0, 3, 4, 5, 6, 9, 10, 11, 14, 15, 16
|-
|min2 neu2 Maj2 Maj3 4 neu4 min6 neu6 Maj6 min7
|0, 1, 2, 3, 6, 7, 8, 11, 12, 13, 14
|-
|min2 neu2 neu3 Maj3 4 5 min6 neu6 Maj6 Maj7
|0, 1, 2, 5, 6, 7, 10, 11, 12, 13, 16
|-
|min2 min3 neu3 Maj3 neu5 5 min6 neu6 neu7 Maj7
|0, 1, 4, 5, 6, 9, 10, 11, 12, 15, 16
|}
|
{| class="wikitable"
|+2 1 1 1 2 1 1 1 1 2 1 1 1 1
|-
|neu2 Maj2 min3 neu3 4 neu4 neu5 5 min6 Maj6 min7 neu7 Maj7
|0, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16
|-
|min2 neu2 Maj2 neu3 Maj3 4 neu4 neu5 min6 neu6 Maj6 min7 neu7
|0, 1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15
|-
|min2 neu2 min3 neu3 Maj3 4 neu4 5 min6 neu6 Maj6 min7 Maj7
|0, 1, 2, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16
|-
|min2 Maj2 min3 neu3 Maj3 4 neu5 5 min6 neu6 Maj6 neu7 Maj7
|0, 1, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 15, 16
|-
|neu2 Maj2 min3 neu3 Maj3 neu4 neu5 5 min6 neu6 min7 neu7 Maj7
|0, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16
|-
|min2 neu2 Maj2 min3 Maj3 4 neu4 neu5 5 neu6 Maj6 min7 neu7
|0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15
|-
|min2 neu2 Maj2 neu3 Maj3 4 neu4 neu5 min6 neu6 Maj6 min7 Maj7
|0, 1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16
|-
|min2 neu2 min3 neu3 Maj3 4 neu4 5 min6 neu6 Maj6 neu7 Maj7
|0, 1, 2, 4, 5, 6, 7, 8, 10, 11, 12, 13, 15, 16
|-
|min2 Maj2 min3 neu3 Maj3 4 neu5 5 min6 neu6 min7 neu7 Maj7
|0, 1, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16
|-
|neu2 Maj2 min3 neu3 Maj3 neu4 neu5 5 min6 Maj6 min7 neu7 Maj7
|0, 2, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 15, 16
|-
|min2 neu2 Maj2 min3 Maj3 4 neu4 neu5 min6 neu6 Maj6 min7 neu7
|0, 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15
|-
|min2 neu2 Maj2 neu3 Maj3 4 neu4 5 min6 neu6 Maj6 min7 Maj7
|0, 1, 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16
|-
|min2 neu2 min3 neu3 Maj3 4 neu5 5 min6 neu6 Maj6 neu7 Maj7
|0, 1, 2, 4, 5, 6, 7, 9, 10, 11, 12, 13, 15, 16
|-
|min2 Maj2 min3 neu3 Maj3 neu4 neu5 5 min6 neu6 min7 neu7 Maj7
|0, 1, 3, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16
|}
|}
|}
|}
Line 1,059: Line 863:
|0, 3, 10
|0, 3, 10
|}
|}
|-
|
|
{| class="wikitable"
{| class="wikitable"
Line 1,078: Line 883:
|0, 3, 7, 10, 14
|0, 3, 7, 10, 14
|}
|}
|-
|
|
{| class="wikitable"
{| class="wikitable"
Line 1,104: Line 908:
|0, 1, 4, 7, 10, 11, 14
|0, 1, 4, 7, 10, 11, 14
|}
|}
|
{| class="wikitable"
|+2 1 2 1 2 1 1 2 1 2 1 1
|-
|neu2 Maj2 neu3 Maj3 neu4 neu5 5 neu6 Maj6 neu7 Maj7
|0, 2, 3, 5, 6, 8, 9, 10, 12, 13, 15, 16
|-
|min2 Maj2 min3 Maj3 4 neu4 5 min6 Maj6 min7 neu7
|0, 1, 3, 4, 6, 7, 8, 10, 11, 13, 14, 15
|-
|neu2 Maj2 neu3 Maj3 4 neu5 5 neu6 Maj6 min7 Maj7
|0, 2, 3, 5, 6, 7, 9, 10, 12, 13, 14, 16
|-
|min2 Maj2 min3 neu3 4 neu4 5 min6 neu6 min7 neu7
|0, 1, 3, 4, 5, 7, 8, 10, 11, 12, 14, 15
|-
|neu2 Maj2 min3 Maj3 4 neu5 5 min6 Maj6 min7 Maj7
|0, 2, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16
|-
|min2 neu2 min3 neu3 4 neu4 neu5 min6 neu6 min7 neu7
|0, 1, 2, 4, 5, 7, 8, 9, 11, 12, 14, 15
|-
|min2 Maj2 min3 Maj3 4 neu4 5 min6 Maj6 min7 Maj7
|0, 1, 3, 4, 6, 7, 8, 10, 11, 13, 14, 16
|-
|neu2 Maj2 neu3 Maj3 4 neu5 5 neu6 Maj6 neu7 Maj7
|0, 2, 3, 5, 6, 7, 9, 10, 12, 13, 15, 16
|-
|min2 Maj2 min3 neu3 4 neu4 5 min6 Maj6 min7 neu7
|0, 1, 3, 4, 5, 7, 8, 10, 11, 13, 14, 15
|-
|neu2 Maj2 min3 Maj3 4 neu5 5 neu6 Maj6 min7 Maj7
|0, 2, 3, 4, 6, 7, 9, 10, 12, 13, 14, 16
|-
|min2 neu2 min3 neu3 4 neu4 5 min6 neu6 min7 neu7
|0, 1, 2, 4, 5, 7, 8, 10, 11, 12, 14, 15
|-
|min2 Maj2 min3 Maj3 4 neu5 5 min6 Maj6 min7 Maj7
|0, 1, 3, 4, 6, 7, 9, 10, 11, 13, 14, 16
|}
|
|}
|}


Line 1,172: Line 935:
|0, 1, 9
|0, 1, 9
|}
|}
|-
|
|
{| class="wikitable"
{| class="wikitable"
Line 1,192: Line 954:
|0, 1, 8, 9, 16
|0, 1, 8, 9, 16
|}
|}
|-
|
|
{| class="wikitable"
{| class="wikitable"
Line 1,217: Line 980:
|0, 1, 7, 8, 9, 15, 16
|0, 1, 7, 8, 9, 15, 16
|}
|}
|-
|
|
{| class="wikitable"
{| class="wikitable"
Line 1,250: Line 1,012:
|}
|}
|
|
{| class="wikitable"
|+4 1 1 1 1 4 1 1 1 1 1
|-
|min3 neu3 Maj3 4 neu4 neu6 Maj6 min7 neu7 Maj7
|0, 4, 5, 6, 7, 8, 12, 13, 14, 15, 16
|-
|min2 neu2 Maj2 min3 neu4 neu5 5 min6 neu6 Maj6
|0, 1, 2, 3, 4, 8, 9, 10, 11, 12, 13
|-
|min2 neu2 Maj2 4 neu4 neu5 5 min6 neu6 Maj7
|0, 1, 2, 3, 7, 8, 9, 10, 11, 12, 16
|-
|min2 neu2 Maj3 4 neu4 neu5 5 min6 neu7 Maj7
|0, 1, 2, 6, 7, 8, 9, 10, 11, 15, 16
|-
|min2 neu3 Maj3 4 neu4 neu5 5 min7 neu7 Maj7
|0, 1, 5, 6, 7, 8, 9, 10, 14, 15, 16
|-
|min3 neu3 Maj3 4 neu4 neu5 Maj6 min7 neu7 Maj7
|0, 4, 5, 6, 7, 8, 9, 13, 14, 15, 16
|-
|min2 neu2 Maj2 min3 neu3 neu5 5 min6 neu6 Maj6
|0, 1, 2, 3, 4, 5, 9, 10, 11, 12, 13
|-
|min2 neu2 Maj2 min3 neu4 neu5 5 min6 neu6 Maj7
|0, 1, 2, 3, 4, 8, 9, 10, 11, 12, 16
|-
|min2 neu2 Maj2 4 neu4 neu5 5 min6 neu7 Maj7
|0, 1, 2, 3, 7, 8, 9, 10, 11, 15, 16
|-
|min2 neu2 Maj3 4 neu4 neu5 5 min7 neu7 Maj7
|0, 1, 2, 6, 7, 8, 9, 10, 14, 15, 16
|-
|min2 neu3 Maj3 4 neu4 neu5 Maj6 min7 neu7 Maj7
|0, 1, 5, 6, 7, 8, 9, 13, 14, 15, 16
|}
|-
|
{| class="wikitable"
|+3 1 1 1 1 1 3 1 1 1 1 1 1
|-
|Maj2 min3 neu3 Maj3 4 neu4 min6 neu6 Maj6 min7 neu7 Maj7
|0, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16
|-
|min2 neu2 Maj2 min3 neu3 neu4 neu5 5 min6 neu6 Maj6 min7
|0, 1, 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14
|-
|min2 neu2 Maj2 min3 4 neu4 neu5 5 min6 neu6 Maj6 Maj7
|0, 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 16
|-
|min2 neu2 Maj2 Maj3 4 neu4 neu5 5 min6 neu6 neu7 Maj7
|0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 12, 15, 16
|-
|min2 neu2 neu3 Maj3 4 neu4 neu5 5 min6 min7 neu7 Maj7
|0, 1, 2, 5, 6, 7, 8, 9, 10, 11, 14, 15, 16
|-
|min2 min3 neu3 Maj3 4 neu4 neu5 5 Maj6 min7 neu7 Maj7
|0, 1, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16
|-
|Maj2 min3 neu3 Maj3 4 neu4 neu5 neu6 Maj6 min7 neu7 Maj7
|0, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16
|-
|min2 neu2 Maj2 min3 neu3 Maj3 neu5 5 min6 neu6 Maj6 min7
|0, 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14
|-
|min2 neu2 Maj2 min3 neu3 neu4 neu5 5 min6 neu6 Maj6 Maj7
|0, 1, 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 16
|-
|min2 neu2 Maj2 min3 4 neu4 neu5 5 min6 neu6 neu7 Maj7
|0, 1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 15, 16
|-
|min2 neu2 Maj2 Maj3 4 neu4 neu5 5 min6 min7 neu7 Maj7
|0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 14, 15, 16
|-
|min2 neu2 neu3 Maj3 4 neu4 neu5 5 Maj6 min7 neu7 Maj7
|0, 1, 2, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16
|-
|min2 min3 neu3 Maj3 4 neu4 neu5 neu6 Maj6 min7 neu7 Maj7
|0, 1, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16
|}
|
{| class="wikitable"
|+2 1 1 1 1 1 1 2 1 1 1 1 1 1 1
|-
|neu2 Maj2 min3 neu3 Maj3 4 neu4 5 min6 neu6 Maj6 min7 neu7 Maj7
|0, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16
|-
|min2 neu2 Maj2 min3 neu3 Maj3 neu4 neu5 5 min6 neu6 Maj6 min7 neu7
|0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15
|-
|min2 neu2 Maj2 min3 neu3 4 neu4 neu5 5 min6 neu6 Maj6 min7 Maj7
|0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 16
|-
|min2 neu2 Maj2 min3 Maj3 4 neu4 neu5 5 min6 neu6 Maj6 neu7 Maj7
|0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16
|-
|min2 neu2 Maj2 neu3 Maj3 4 neu4 neu5 5 min6 neu6 min7 neu7 Maj7
|0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16
|-
|min2 neu2 min3 neu3 Maj3 4 neu4 neu5 5 min6 Maj6 min7 neu7 Maj7
|0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16
|-
|min2 Maj2 min3 neu3 Maj3 4 neu4 neu5 5 neu6 Maj6 min7 neu7 Maj7
|0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16
|-
|neu2 Maj2 min3 neu3 Maj3 4 neu4 neu5 min6 neu6 Maj6 min7 neu7 Maj7
|0, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16
|-
|min2 neu2 Maj2 min3 neu3 Maj3 4 neu5 5 min6 neu6 Maj6 min7 neu7
|0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15
|-
|min2 neu2 Maj2 min3 neu3 Maj3 neu4 neu5 5 min6 neu6 Maj6 min7 Maj7
|0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 16
|-
|min2 neu2 Maj2 min3 neu3 4 neu4 neu5 5 min6 neu6 Maj6 neu7 Maj7
|0, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15, 16
|-
|min2 neu2 Maj2 min3 Maj3 4 neu4 neu5 5 min6 neu6 min7 neu7 Maj7
|0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16
|-
|min2 neu2 Maj2 neu3 Maj3 4 neu4 neu5 5 min6 Maj6 min7 neu7 Maj7
|0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16
|-
|min2 neu2 min3 neu3 Maj3 4 neu4 neu5 5 neu6 Maj6 min7 neu7 Maj7
|0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16
|-
|min2 Maj2 min3 neu3 Maj3 4 neu4 neu5 min6 neu6 Maj6 min7 neu7 Maj7
|0, 1, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16
|}
|}
|}

Revision as of 22:15, 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

Some MOS Regular Temperaments

MOS modes with 2-9 notes per octave (generator 1\17 excluded).

Period: 1\17, Generator: 1\17

uninteresting

Period: 17\17, Generator: 1\17

uninteresting

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

Period: 17\17, Generator: 3\17

14 3
min7 0, 14
Maj2 0, 3
11 3 3
min6 min7 0, 11, 14
Maj2 Maj3 0, 3, 6
Maj2 min7 0, 3, 14
8 3 3 3
neu4 min6 min7 0, 8, 11, 14
Maj2 Maj3 neu5 0, 3, 6, 9
Maj2 Maj3 min7 0, 3, 6, 14
Maj2 min6 min7 0, 3, 11, 14
5 3 3 3 3
neu3 neu4 min6 min7 0, 5, 8, 11, 14
Maj2 Maj3 neu5 neu6 0, 3, 6, 9, 12
Maj2 Maj3 neu5 min7 0, 3, 6, 9, 14
Maj2 Maj3 min6 min7 0, 3, 6, 11, 14
Maj2 neu4 min6 min7 0, 3, 8, 11, 14
3 3 3 3 3 2
Maj2 Maj3 neu5 neu6 neu7 0, 3, 6, 9, 12, 15
Maj2 Maj3 neu5 neu6 min7 0, 3, 6, 9, 12, 14
Maj2 Maj3 neu5 min6 min7 0, 3, 6, 9, 11, 14
Maj2 Maj3 neu4 min6 min7 0, 3, 6, 8, 11, 14
Maj2 neu3 neu4 min6 min7 0, 3, 5, 8, 11, 14
neu2 neu3 neu4 min6 min7 0, 2, 5, 8, 11, 14

Period: 17\17, Generator: 4\17

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

Period: 17\17, Generator: 5\17

12 5
neu6 0, 12
neu3 0, 5
7 5 5
4 neu6 0, 7, 12
neu3 5 0, 5, 10
neu3 neu6 0, 5, 12
5 5 5 2
neu3 5 neu7 0, 5, 10, 15
neu3 5 neu6 0, 5, 10, 12
neu3 4 neu6 0, 5, 7, 12
neu2 4 neu6 0, 2, 7, 12
3 2 3 2 3 2 2
Maj2 neu3 neu4 5 Maj6 neu7 0, 3, 5, 8, 10, 13, 15
neu2 neu3 4 5 neu6 min7 0, 2, 5, 7, 10, 12, 14
Maj2 neu3 neu4 5 neu6 neu7 0, 3, 5, 8, 10, 12, 15
neu2 neu3 4 neu5 neu6 min7 0, 2, 5, 7, 9, 12, 14
Maj2 neu3 4 5 neu6 neu7 0, 3, 5, 7, 10, 12, 15
neu2 min3 4 neu5 neu6 min7 0, 2, 4, 7, 9, 12, 14
neu2 neu3 4 5 neu6 neu7 0, 2, 5, 7, 10, 12, 15

Period: 17\17, Generator: 6\17

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

Period: 17\17, Generator: 7\17

10 7
5 0, 10
4 0, 7
7 7 3
4 min7 0, 7, 14
4 5 0, 7, 10
Maj2 5 0, 3, 10
4 3 4 3 3
min3 4 min6 min7 0, 4, 7, 11, 14
Maj2 4 5 Maj6 0, 3, 7, 10, 13
min3 4 5 min7 0, 4, 7, 10, 14
Maj2 Maj3 5 Maj6 0, 3, 6, 10, 13
Maj2 4 5 min7 0, 3, 7, 10, 14
3 3 3 1 3 3 1
Maj2 Maj3 neu5 5 Maj6 Maj7 0, 3, 6, 9, 10, 13, 16
Maj2 Maj3 4 5 Maj6 min7 0, 3, 6, 7, 10, 13, 14
Maj2 min3 4 5 min6 min7 0, 3, 4, 7, 10, 11, 14
min2 min3 4 neu4 min6 min7 0, 1, 4, 7, 8, 11, 14
Maj2 Maj3 4 5 Maj6 Maj7 0, 3, 6, 7, 10, 13, 16
Maj2 min3 4 5 Maj6 min7 0, 3, 4, 7, 10, 13, 14
min2 min3 4 5 min6 min7 0, 1, 4, 7, 10, 11, 14

Period: 17\17, Generator: 8\17

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