43edo-interval names

Degree	Cents	Igs' Input	Kite's Correction	Margo's Method	Piotr Grochowski, Extended meantone notation (named)	Aaron's Answer	SagiSpeak	Ups and downs	Gareth's Go	Keenan Category	Represented Ratios
0	0	Unison				P1					1/1
1	27.907	Subminor 2nd	Subminor 2nd	Minor 2nd	high unison, diminished second	L1/Nm2	pai-P1, d2	^1, d2	d2		64/63, 81/80
2	55.814	Neutral 2nd	Neutral 2nd	Large Neutral 2nd	low augmented unison	Sm2 (Small M2)	pao-A1, pai-m2	vA1, ^d2			33/32
3	83.721	Supermajor 2nd	Supermajor 2nd	Large Major 2nd	augmented unison	m2	A1, pao-m2	A1, vm2	A1		21/20
4	111.628	Minor 3rd	Minor 3rd	Large Minor 3rd	minor second	Lm2	m2				17/16, 16/15, 15/14
5	139.535	Major 3rd	Major 3rd	Major 3rd	low neutral second	Wm2/NM2 (Narrow M2)	pai-m2	^m2	Sm2		12/11, 13/12, 14/13
6	167.442	Sub 4th	Sub 4th	Small Perfect 4th	high neutral second	d.SM2	pao-M2	vM2	sM2		11/10
7	195.349	Narrow Tritone	Super 4th	Small Tritone	major second	(S)M2	M2				9/8, 10/9
8	223.256	Wide Tritone	Sub 5th	Large Tritone	high major second, diminished third	LM2	pai-M2, d3	^M2, d3	SM2, d3		8/7
9	251.163	Super 5th	Super 5th	Large Perfect 5th	low augmented second, high diminished third	A.LM2/d.Sm3	pao-A2, pai-d3	vA2, ^d3	Serd*		15/13
10	279.07	Minor 6th	Minor 6th	Minor 6th	augmented second, low minor third	Sm3	A2, pao-m3	A2, vm3	sm3. A2		7/6, 13/11
11	306.977	Major 6th	Major 6th	Small Major 6th	minor third	(L)m3	m3				6/5
12	334.884	Subminor 7th	Subminor 7th	Small Minor 7th	low neutral third	Wm3	pai-m3	^m3	Sm3		17/14, 39/32
13	362.791	Neutral 7th	Neutral 7th	Small Neutral 7th	high neutral third	NM3	pao-M3	vM3	sM3		11/9, 16/13
14	390.698	Supermajor 7th	Supermajor 7th	Major 7th	major third	(S)M3	M3				5/4
15	418.605				diminished fourth, high major third	M.M3/LM3	d4, pai-M3	^M3	SM3, d4		9/7, 14/11
16	446.512	Unison	Unison	Unison	low augmented third, high diminished fourth	S4 (Small 4)	pao-A3, pai-d4	vA3, ^d4			13/10
17	474.419	Subminor 2nd	Subminor 2nd	Minor 2nd	augmented third, low fourth		A3, pao-P4	A3, v4	A3		21/16
18	502.326	Neutral 2nd	Neutral 2nd	Large Neutral 2nd	fourth	P4/L4	P4				4/3
19	530.233	Supermajor 2nd	Supermajor 2nd	Large Major 2nd	high fourth	A.L4	pai-P4	^4			15/11
20	558.139	Minor 3rd	Minor 3rd	Large Minor 3rd	low augmented fourth	NA4/Sd5	pao-A4	vA4			11/8, 18/13
21	586.046	Major 3rd	Major 3rd	Major 3rd	augmented fourth	d5	pao-d5, A4	A4, vd5	A4		7/5
22	613.953	Sub 4th	Sub 4th	Small Perfect 4th	diminished fifth	A4	pai-A4, d5	^A4, d5	d5		10/7
23	641.86	Narrow Tritone	Super 4th	Small Tritone	high diminished fifth	La4/Wd5	pai-d5	^d5			16/11, 13/9
24	669.767	Wide Tritone	Sub 5th	Large Tritone	low fifth	d.S5	pao-P5	v5			22/15
25	697.674	Super 5th	Super 5th	Large Perfect 5th	fifth	S5/P5	P5				3/2
26	725.581	Minor 6th	Minor 6th	Minor 6th	diminished sixth, high fifth	L5	d6, pai-P5	^5	d6		32/21
27	753.488	Major 6th	Major 6th	Small Major 6th	low augmented fifth, high diminished sixth		pao-A5, pai-d6	vA5, ^d6			20/13
28	781.395	Subminor 7th	Subminor 7th	Small Minor 7th	low minor sixth	Sm6/m.m6	A5, pao-m6	vm6	sm6, A5		14/9, 11/7
29	809.302	Neutral 7th	Neutral 7th	Small Neutral 7th	minor sixth	(L)m6	m6				8/5
30	837.209	Supermajor 7th	Supermajor 7th	Major 7th	low neutral sixth	Wm6	pai-m6	^m6	Sm6		18/11, 13/8
31	865.116	Octave	Octave	Octave	high neutral sixth	NM6	pao-M6	vM6	sM6		28\17, 64\39
32	893.023	Unison	Unison	Unison	major sixth	(S)M6	M6				5/3
33	920.93	Subminor 2nd	Subminor 2nd	Minor 2nd	high major sixth	LM6	pai-M6, d7	^M6	SM6, d7		12/7
34	948.837	Neutral 2nd	Neutral 2nd	Large Neutral 2nd	low augmented sixth, high diminished seventh	A.LM6/d.Sm7	pao-A6, pai-d7	vA6, ^d7	Sinth*		26/15
35	976.744	Supermajor 2nd	Supermajor 2nd	Large Major 2nd	low minor seventh, augmented sixth	Sm7	pao-m7, A6	vm7	sm7, A6		7/4
36	1004.651	Minor 3rd	Minor 3rd	Large Minor 3rd	minor seventh	(L)m7	m7				16/9, 9/5
37	1032.558	Major 3rd	Major 3rd	Major 3rd	low neutral seventh	A.Lm7	pai-m7	^m7	Sm7		20/11
38	1060.465	Sub 4th	Sub 4th	Small Perfect 4th	high neutral seventh	Wm7/NM7	pao-M7	vM7	sM7		11/6, 24/13, 13/7
39	1088.372	Narrow Tritone	Super 4th	Small Tritone	major seventh	SM7	M7				15/8, 28/15
40	1116.279	Wide Tritone	Sub 5th	Large Tritone	diminished octave	M7	d8, pai-M7	^M7	SM7. d8		40/21
41	1144.186	Super 5th	Super 5th	Large Perfect 5th	high diminished octave	LM7	pai-d8, pao-A7	vA7, ^d8			64/33
42	1172.093	Minor 6th	Minor 6th	Minor 6th	low octave, augmented seventh	S8/WM7	pao-P8, A7	A7, v8	A7		63/32, 160/81
43	1200	Octave				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.