Enneatonic MOS: Difference between revisions

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Names for MOS families (according to the [[MOSNamingScheme|naming scheme]]):
Names for MOS families (according to the [[MOSNamingScheme|naming scheme]]):


[[1L_8s|1L 8s]] Happy nonatonic
[[1L_8s|1L 8s]] antisubneutralic


[[2L_7s|2L 7s]] fair mavila
[[2L_7s|2L 7s]] balzano


[[3L_6s|3L 6s]] fair augmented
[[3L_6s|3L 6s]] tcherepnin


[[4L_5s|4L 5s]] fair bug
[[4L_5s|4L 5s]] gramitonic


[[5L_4s|5L 4s]] unfair bug
[[5L_4s|5L 4s]] semiquartal


[[6L_3s|6L 3s]] unfair augmented
[[6L_3s|6L 3s]] hyrulic


[[7L_2s|7L 2s]] unfair mavila
[[7L_2s|7L 2s]] armotonic


[[8L_1s|8L 1s]] Grumpy nonatonic
[[8L_1s|8L 1s]] subneutralic


Additional constraints: L/s < 5, L/s > 7/6
Additional constraints: L/s < 5, L/s > 7/6


<pre>n   MOS family         L s
{| class="wikitable"
****************************
! | n
10 Happy nonatonic    2 1
! | MOS family
11 Happy nonatonic    3 1
! | L
11 fair mavila        2 1
! | s
12 Happy nonatonic    4 1
|-
12 fair augmented    2 1
| 10||antisubneutralic||2||1
13 fair mavila        3 1
|-
13 fair bug          2 1
| 11||antisubneutralic||3||1
14 unfair bug        2 1
|-
15 fair mavila        4 1
| 11||balzano||2||1
15 fair augmented    3 1
|-
15 unfair augmented  2 1
| 12||antisubneutralic||4||1
16 unfair mavila      2 1
|-
17 fair bug          3 1
| 12||tcherepnin||2||1
17 Grumpy nonatonic  2 1
|-
18 fair augmented    4 1
| 13||balzano||3||1
19 Happy nonatonic    3 2
|-
19 unfair bug        3 1
| 13||gramitonic||2||1
20 Happy nonatonic    4 2
|-
20 fair mavila        3 2
| 14||semiquartal||2||1
21 Happy nonatonic    5 2
|-
21 fair augmented    3 2
| 15||balzano||4||1
21 fair bug          4 1
|-
21 unfair augmented  3 1
| 15||tcherepnin||3||1
22 Happy nonatonic    6 2
|-
22 fair mavila        4 2
| 15||hyrulic||2||1
22 fair bug          3 2
|-
23 Happy nonatonic    7 2
| 16||armotonic||2||1
23 unfair bug        3 2
|-
23 unfair mavila      3 1
| 17||gramitonic||3||1
24 Happy nonatonic    8 2
|-
24 fair mavila        5 2
| 17||subneutralic||2||1
24 fair augmented    4 2
|-
24 unfair bug        4 1
| 18||tcherepnin||4||1
24 unfair augmented  3 2
|-
25 Happy nonatonic    9 2
| 19||antisubneutralic||3||2
25 unfair mavila      3 2
|-
25 Grumpy nonatonic  3 1
| 19||semiquartal||3||1
26 fair mavila        6 2
|-
26 fair bug          4 1
| 20||antisubneutralic||4||2
26 Grumpy nonatonic  3 2
|-
27 fair augmented    5 2
| 20||balzano||3||2
27 unfair augmented  4 1
|-
28 Happy nonatonic    4 3
| 21||antisubneutralic||5||2
28 fair mavila        7 2
|-
28 unfair bug        4 2
| 21||tcherepnin||3||2
29 Happy nonatonic    5 3
|-
29 fair mavila        4 3
| 21||gramitonic||4||1
30 Happy nonatonic    6 3
|-
30 fair mavila        8 3
| 21||hyrulic||3||1
30 fair augmented    6 2
|-
30 fair augmented    4 3
| 22||antisubneutralic||6||2
30 fair bug          5 2
|-
30 unfair augmented  4 2
| 22||balzano||4||2
30 unfair mavila      4 1
|-
31 Happy nonatonic    7 3
| 22||gramitonic||3||2
31 fair mavila        5 3
|-
31 fair bug          4 3
| 23||antisubneutralic||7||2
32 Happy nonatonic    8 3
|-
32 fair mavila        9 2
| 23||semiquartal||3||2
32 unfair bug        4 3
|-
32 unfair mavila      4 2
| 23||armotonic||3||1
33 Happy nonatonic    9 3
|-
33 fair mavila        6 3
| 24||antisubneutralic||8||2
33 fair augmented    7 2
|-
33 Happy nonatonic    5 3
| 24||balzano||5||2
33 unfair bug        5 2
|-
33 unfair augmented  4 3
| 24||tcherepnin||4||2
34 Happy nonatonic  10 3
|-
34 fair bug          6 2
| 24||semiquartal||4||1
34 unfair mavila      4 3
|-
34 Grumpy nonatonic  4 2
| 24||hyrulic||3||2
35 Happy nonatonic  11 3
|-
35 fair mavila        7 3
| 25||antisubneutralic||9||2
35 fair bug          5 3
|-
35 Grumpy nonatonic  4 3
| 25||armotonic||3||2
36 Happy nonatonic  12 3
|-
36 fair augmented    8 2
| 25||subneutralic||3||1
36 fair augmented    6 3
|-
36 unfair augmented  5 2
| 26||balzano||6||2
 
|-
XXX
| 26||gramitonic||4||1
 
|-
41 Happy nonatonic    9 4
| 26||subneutralic||3||2
41 Fair mavila      10 3
|-
41 unfair bug        5 4
| 27||tcherepnin||5||2
41 unfair mavila      5 3</pre>
|-
[[Category:mos]]
| 27||hyrulic||4||1
|-
| 28||antisubneutralic||4||3
|-
| 28||balzano||7||2
|-
| 28||semiquartal||4||2
|-
| 29||antisubneutralic||5||3
|-
| 29||balzano||4||3
|-
| 30||antisubneutralic||6||3
|-
| 30||balzano||8||3
|-
| 30||tcherepnin||6||2
|-
| 30||tcherepnin||4||3
|-
| 30||gramitonic||5||2
|-
| 30||hyrulic||4||2
|-
| 30||armotonic||4||1
|-
| 31||antisubneutralic||7||3
|-
| 31||balzano||5||3
|-
| 31||gramitonic||4||3
|-
| 32||antisubneutralic||8||3
|-
| 32||balzano||9||2
|-
| 32||semiquartal||4||3
|-
| 32||armotonic||4||2
|-
| 33||antisubneutralic||9||3
|-
| 33||balzano||6||3
|-
| 33||tcherepnin||7||2
|-
| 33||antisubneutralic||5||3
|-
| 33||semiquartal||5||2
|-
| 33||hyrulic||4||3
|-
| 34||antisubneutralic||10||3
|-
| 34||gramitonic||6||2
|-
| 34||armotonic||4||3
|-
| 34||subneutralic||4||2
|-
| 35||antisubneutralic||11||3
|-
| 35||balzano||7||3
|-
| 35||gramitonic||5||3
|-
| 35||subneutralic||4||3
|-
| 36||antisubneutralic||12||3
|-
| 36||tcherepnin||8||2
|-
| 36||tcherepnin||6||3
|-
| 36||hyrulic||5||2
|-
| colspan="4" style="text-align:center" | XXX
|-
| 41||antisubneutralic||9||4
|-
| 41||balzano||10||3
|-
| 41||semiquartal||5||4
|-
| 41||armotonic||5||3
|}
 
 
[[Category:MOS scales]]

Latest revision as of 05:27, 14 May 2025

Families of nonatonic MOS scales for all n-EDO tunings until 36EDO

Names for MOS families (according to the naming scheme):

1L 8s antisubneutralic

2L 7s balzano

3L 6s tcherepnin

4L 5s gramitonic

5L 4s semiquartal

6L 3s hyrulic

7L 2s armotonic

8L 1s subneutralic

Additional constraints: L/s < 5, L/s > 7/6

n MOS family L s
10 antisubneutralic 2 1
11 antisubneutralic 3 1
11 balzano 2 1
12 antisubneutralic 4 1
12 tcherepnin 2 1
13 balzano 3 1
13 gramitonic 2 1
14 semiquartal 2 1
15 balzano 4 1
15 tcherepnin 3 1
15 hyrulic 2 1
16 armotonic 2 1
17 gramitonic 3 1
17 subneutralic 2 1
18 tcherepnin 4 1
19 antisubneutralic 3 2
19 semiquartal 3 1
20 antisubneutralic 4 2
20 balzano 3 2
21 antisubneutralic 5 2
21 tcherepnin 3 2
21 gramitonic 4 1
21 hyrulic 3 1
22 antisubneutralic 6 2
22 balzano 4 2
22 gramitonic 3 2
23 antisubneutralic 7 2
23 semiquartal 3 2
23 armotonic 3 1
24 antisubneutralic 8 2
24 balzano 5 2
24 tcherepnin 4 2
24 semiquartal 4 1
24 hyrulic 3 2
25 antisubneutralic 9 2
25 armotonic 3 2
25 subneutralic 3 1
26 balzano 6 2
26 gramitonic 4 1
26 subneutralic 3 2
27 tcherepnin 5 2
27 hyrulic 4 1
28 antisubneutralic 4 3
28 balzano 7 2
28 semiquartal 4 2
29 antisubneutralic 5 3
29 balzano 4 3
30 antisubneutralic 6 3
30 balzano 8 3
30 tcherepnin 6 2
30 tcherepnin 4 3
30 gramitonic 5 2
30 hyrulic 4 2
30 armotonic 4 1
31 antisubneutralic 7 3
31 balzano 5 3
31 gramitonic 4 3
32 antisubneutralic 8 3
32 balzano 9 2
32 semiquartal 4 3
32 armotonic 4 2
33 antisubneutralic 9 3
33 balzano 6 3
33 tcherepnin 7 2
33 antisubneutralic 5 3
33 semiquartal 5 2
33 hyrulic 4 3
34 antisubneutralic 10 3
34 gramitonic 6 2
34 armotonic 4 3
34 subneutralic 4 2
35 antisubneutralic 11 3
35 balzano 7 3
35 gramitonic 5 3
35 subneutralic 4 3
36 antisubneutralic 12 3
36 tcherepnin 8 2
36 tcherepnin 6 3
36 hyrulic 5 2
XXX
41 antisubneutralic 9 4
41 balzano 10 3
41 semiquartal 5 4
41 armotonic 5 3
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