43edo-interval names

Degree	Cents	Aaron's Answer	Igs' Input	Kite's Correction	Keenan Category	Margo's Method	Piotr Grochowski, Extended meantone notation (named)	SagiSpeak	Ups and downs	Gareth's Go		Represented Ratios
0	0	P1	Unison	Unison	P1	Unison	unison	P1	P1	P1		1/1
1	27.907	m2	Subminor 2nd	Subminor 2nd	m2	Minor 2nd	high unison, diminished second	pai-P1	^1, d2	m2		64/63, 81/80
2	55.814	NM2 (Narrow M2)	Neutral 2nd	Neutral 2nd	M2	Large Neutral 2nd	low augmented unison	pao-M2	vA1, ^d2	M2		11/10, 12/11, 10/9
3	83.721	LM2	Supermajor 2nd	Supermajor 2nd	A2/d3	Large Major 2nd	augmented unison	M2	vm2	Serd*		8/7, 7/6, 9/8
4	111.628	Lm3	Minor 3rd	Minor 3rd	m3	Large Minor 3rd	minor second	pai-m3	m2	m3		17/16, 16/15, 15/14
5	139.535	M3	Major 3rd	Major 3rd	M3	Major 3rd	low neutral second	pao-M3	^m2	M3		12/11, 13/12, 14/13
6	167.442	S4 (Small 4)	Sub 4th	Sub 4th	P4	Small Perfect 4th	high neutral second	P4	vM2	P4		11/10
7	195.349	Na4/Sd5	Narrow Tritone	Super 4th	A4	Small Tritone	major second	pai-P4	M2	A4		9/8, 10/9
8	223.256	La4/Wd5	Wide Tritone	Sub 5th	d5	Large Tritone	high major second	pao-P5	^M2	d5		8/7
9	251.163	L5	Super 5th	Super 5th	P5	Large Perfect 5th	low augmented second, high diminished third	P5	vA2, ^d3	P5		15/13
10	279.07	m6	Minor 6th	Minor 6th	m6	Minor 6th	augmented second, low minor third	pai-m6	vm3	m6		7/6, 13/11
11	306.977	SM6	Major 6th	Major 6th	M6	Small Major 6th	minor third	pao-M6	m3	M6		6/5
12	334.884	SM7	Subminor 7th	Subminor 7th	A6/d7	Small Minor 7th	low neutral third	m7	^m3	Sinth*		17/14, 39/32
13	362.791	Wm7	Neutral 7th	Neutral 7th	m7	Small Neutral 7th	high neutral third	pai-m7	vM3	m7		11/9, 16/13
14	390.698	M7	Supermajor 7th	Supermajor 7th	M7	Major 7th	major third	pao-P8	M3	M7		5/4
15	418.605	P8					diminished fourth, high major third		^M3	P8		9/7, 14/11
16	446.512	P1	Unison	Unison	P1	Unison	low augmented third, high diminished fourth	P1	vA3, ^d4	P1		13/10
17	474.419	m2	Subminor 2nd	Subminor 2nd	m2	Minor 2nd	augmented third, low fourth	pai-P1	v4	m2		21/16
18	502.326	NM2 (Narrow M2)	Neutral 2nd	Neutral 2nd	M2	Large Neutral 2nd	fourth	pao-M2	P4	M2		4/3
19	530.233	LM2	Supermajor 2nd	Supermajor 2nd	A2/d3	Large Major 2nd	high fourth	M2	^4	Serd*		15/11
20	558.139	Lm3	Minor 3rd	Minor 3rd	m3	Large Minor 3rd	low augmented fourth	pai-m3	vA4	m3		11/8, 18/13
21	586.046	M3	Major 3rd	Major 3rd	M3	Major 3rd	augmented fourth	pao-M3	A4, vd5	M3		7/5
22	613.953	S4 (Small 4)	Sub 4th	Sub 4th	P4	Small Perfect 4th	diminished fifth	P4	^A4, d5	P4		10/7
23	641.86	Na4/Sd5	Narrow Tritone	Super 4th	A4	Small Tritone	high diminished fifth	pai-P4	^d5	A4		16/11, 13/9
24	669.767	La4/Wd5	Wide Tritone	Sub 5th	d5	Large Tritone	low fifth	pao-P5	v5	d5		22/15
25	697.674	L5	Super 5th	Super 5th	P5	Large Perfect 5th	fifth	P5	P5	P5		3/2
26	725.581	m6	Minor 6th	Minor 6th	m6	Minor 6th	diminished sixth, high fifth	pai-m6	^5	m6		32/21
27	753.488	SM6	Major 6th	Major 6th	M6	Small Major 6th	augmented fifth, high diminished sixth	pao-M6	vA5, ^d6	M6		20/13
28	781.395	SM7	Subminor 7th	Subminor 7th	A6/d7	Small Minor 7th	low minor sixth	m7	vm6	Sinth*		14/9, 11/7
29	809.302	Wm7	Neutral 7th	Neutral 7th	m7	Small Neutral 7th	minor sixth	pai-m7	m6	m7		8/5
30	837.209	M7	Supermajor 7th	Supermajor 7th	M7	Major 7th	low neutral sixth	pao-P8	^m6	M7		18/11, 13/8
31	865.116	P8	Octave	Octave	P8	Octave	high neutral sixth	P8	vM6	P8		28\17, 64/39
32	893.023	P1	Unison	Unison	P1	Unison	major sixth	P1	M6	P1		5/3
33	920.93	m2	Subminor 2nd	Subminor 2nd	m2	Minor 2nd	high major sixth	pai-P1	^M6	m2		12/7
34	948.837	NM2 (Narrow M2)	Neutral 2nd	Neutral 2nd	M2	Large Neutral 2nd	low augmented sixth, high diminished seventh	pao-M2	vA6, ^d7	M2		26/15
35	976.744	LM2	Supermajor 2nd	Supermajor 2nd	A2/d3	Large Major 2nd	low minor seventh, augmented sixth	M2	vm7	Serd*		7/4
36	1004.651	Lm3	Minor 3rd	Minor 3rd	m3	Large Minor 3rd	minor seventh	pai-m3	m7	m3		16/9, 9/5
37	1032.558	M3	Major 3rd	Major 3rd	M3	Major 3rd	low neutral seventh	pao-M3	^m7	M3		20/11
38	1060.465	S4 (Small 4)	Sub 4th	Sub 4th	P4	Small Perfect 4th	high neutral seventh	P4	vM7	P4		11/6, 24/13, 13/7
39	1088.372	Na4/Sd5	Narrow Tritone	Super 4th	A4	Small Tritone	major seventh	pai-P4	M7	A4		15/8, 28/15
40	1116.279	La4/Wd5	Wide Tritone	Sub 5th	d5	Large Tritone	diminished octave	pao-P5	^M7	d5		16/11, 10/7
41	1144.186	L5	Super 5th	Super 5th	P5	Large Perfect 5th	high diminished octave	P5	vA7, ^d8	P5		3/2, 14/9, 32/21
42	1172.093	m6	Minor 6th	Minor 6th	m6	Minor 6th	low octave, augmented seventh	pai-m6	A7, v8	m6		63/32, 160/81
43	1200	SM6	Octave	Octave	P8	Octave	octave	P8	P8	P8		2/1

*'Serd' and 'Sinth' are Portmanteaux of Second and Third; and Sixth and Seventh respectively. These intervals represent exact half Perfect 4ths and Perfect 5ths, and replace the "regular" interval name. I have put them in there to gain functionality at the cost of losing familiarity/introducing novelty in addition to 'HO', the half-octave. My (Gareth's) system at this stage is the same as Dave Keenan's but for the addition of these. I suppose they could just be optional additional names for those steps. I was led to this after not finding any reason to change Dave's system, but not liking that it led to A2/d3 for the 240c interval in 5n-edos, and A6/d7 for the 960c interval. Seems weird.

Sagi-Speak, Ups and Downs, and Colours are all great, but are completely new ideas that can be linked to on the pages. Sagi-Speak and Ups are directly linked to the two main options for notation.

I like Igs' and Dave's systems the best I think. They are very different. Both are 'size' based rather than 'function', but the point of reference for Igs' is 12edo, which would be more familiar to new readers. Dave's uses JI / 72edo alterations two short chains of the edos best fifth - giving the perfect and neutral intervals, so is malleable in its application to edos, and more able to reflect the 'function' of the intervals in an edo. I've added a few functional labels to it. Might be best to have those in brackets. At this stage I would like to see both on every edo page. Igs' has a point that his extra-diatonic names need not or perhaps should not be associated with ratios. Dave's on the other hand benefit from such an association. Perhaps an edo page could start with Igs' in the intervals section without ratios as he first edits, and in the temperament section Dave's names can be included.

I've done this for 72edo as well.