User:Vector/Various page specs

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6-sheared and above always use Arabic numerals, not Greek ones.


Chain-of-fifths notation (or neutral chain-of-fifths notation, which should always be preferred if available) is deemed *insufficient* and should be excluded if:

- any pitch must be labelled with more than a double sharp/flat in any diatonic mode

- any interval size must be labelled as more than doubly augmented/diminished, or as sesquiaugmented/diminished

- neutral chain-of-fifths notation cannot cover all the notes

EXCEPT if:

- ups and downs is also excluded per the below conditions

Ups and downs notation is deemed *unnecessary* and should be excluded if:

- the sharp is at most 2 steps, but not 0


EDO Ups and downs? Chain of fifths?
5 No YES (classic)
7 No YES (classic)
9 No YES (melodic)
10 No YES (neutral)
12 No YES (classic)
14 YES (classic) No
15 YES (classic) No
16 No YES (melodic)
17 No YES (neutral)
19 No YES (classic)
20 YES (neutral) No
21 YES (classic) No
22 YES (classic) YES (classic)
23 No YES (melodic)
24 No YES (neutral)
25 YES (classic) No
26 No YES (classic)
27 YES (neutral) YES (neutral)
28 YES (classic) No
29 YES (classic) YES (classic)
30 YES (neutral) No
31 No YES (neutral)
32 YES (classic) YES (classic)
33 No YES (classic)
34 YES (neutral) No
35 YES (classic) No
36 YES (classic) No
37 YES (neutral) No
38 No YES (neutral)
39 YES (classic) No
40 No YES (classic)
41 YES (neutral) YES (neutral)
42 YES (classic) No
43 YES (classic) No
44 YES (neutral) YES (neutral)
45 No YES (neutral)
46 YES (classic) No
47 No YES (classic)
48 YES (neutral) No
49 YES (classic) No
50 YES (classic) No
51 YES (neutral) No
52 No YES (neutral)
53 YES (classic) No
54 YES (neutral) No
55 YES (neutral) YES (neutral)

Comma declension categories

Example Short name Prime limit temp Prime subgroup temp Long name
gamelisma, gamelic 1 -isma -ismic -ic -ic comma
semaphoresma, semaphore 2 -sma -smic -∅ - comma
rastma, rastmic 3 -∅ -ic -atic -ic comma
amiton, amity 4 -on -onic -y -y comma
olympia, olympian 5 -ia -ic -ian -ic comma