43edo-interval names

Degree	Cents	Piotr Grochowski, Extended meantone notation (named)	Igs' Input	Kite's Correction	Margo's Method	Aaron's Answer	SagiSpeak	Ups and downs	Gareth's Go	Keenan Category	Represented Ratios
0	0	Unison				P1					1/1
1	27.907	high unison, diminished second	Comma			L1/Nm2	pai-P1, d2	^1, d2	d2		64/63, 81/80
2	55.814	low augmented unison	Low Subminor 2nd		Chromatic Minor 2nd	Sm2 (Small M2)	pao-A1, pai-m2	vA1, ^d2	*Unicond	sA1, Sd2	33/32
3	83.721	augmented unison	High Subminor 2nd		Neutral Minor 2nd	m2	A1, pao-m2	A1, vm2	A1		21/20
4	111.628	Minor 2nd			Diatonic Minor 2nd	Lm2	m2				17/16, 16/15, 15/14
5	139.535	low neutral second	Superminor 2nd		Small Neutral 2nd	Wm2/NM2 (Narrow M2)	pai-m2	^m2	Sm2		12/11, 13/12, 14/13
6	167.442	high neutral second	Submajor 2nd		Large Neutral 2nd, Chromatic Major 2nd	d.SM2	pao-M2	vM2	sM2		11/10
7	195.349	Major 2nd			Low Neutral Major 2nd	(S)M2	M2				9/8, 10/9
8	223.256	high major second, diminished third	Supermajor 2nd		High Neutral Major 2nd	LM2	pai-M2, d3	^M2, d3	SM2, d3		8/7
9	251.163	low augmented second, high diminished third	Super 2nd, Sub 3rd		Diatonic Major 2nd, Interseptimal 2nd-3rd	A.LM2/d.Sm3	pao-A2, pai-d3	vA2, ^d3	Serd*	sA2, Sd3	15/13
10	279.07	augmented second, low minor third	Subminor 3rd		Small Minor 3rd	Sm3	A2, pao-m3	A2, vm3	sm3. A2		7/6, 13/11
11	306.977	Minor 3rd			Large Minor 3rd	(L)m3	m3				6/5
12	334.884	low neutral third	Superminor 3rd		Small Neutral 3rd	Wm3	pai-m3	^m3	Sm3		17/14, 39/32
13	362.791	high neutral third	Submajor 3rd		Large Neutral 3rd	NM3	pao-M3	vM3	sM3		11/9, 16/13
14	390.698	Major 3rd			Small Major 3rd	(S)M3	M3				5/4
15	418.605	diminished fourth, high major third	Low Supermajor 3rd		Large Major 3rd	M.M3/LM3	d4, pai-M3	^M3	SM3, d4		9/7, 14/11
16	446.512	low augmented third, high diminished fourth	High Supermajor 3rd		Interseptimal 3rd-4th	S4 (Small 4)	pao-A3, pai-d4	vA3, ^d4	*Thorth	sA3, Sd4	13/10
17	474.419	augmented third, low fourth	Sub 4th		Small Perfect 4th		A3, pao-P4	A3, v4	A3		21/16
18	502.326	fourth	Perfect 4th		Medium Perfect 4th	P4/L4	P4				4/3
19	530.233	high fourth	Super 4th		Large Perfect 4th	A.L4	pai-P4	^4	S4		15/11
20	558.139	low augmented fourth	Sub Tritone		Small Tritone	NA4/Sd5	pao-A4	vA4	sA4		11/8, 18/13
21	586.046	augmented fourth	Narrow Tritone		Narrow Medium Tritone	d5	pao-d5, A4	A4, vd5	A4		7/5
22	613.953	diminished fifth	Wide Tritone		Wide Medium Tritone	A4	pai-A4, d5	^A4, d5	d5		10/7
23	641.86	high diminished fifth	Super Tritone		Large Tritone	La4/Wd5	pai-d5	^d5	Sd5		16/11, 13/9
24	669.767	low fifth	Sub 5th		Small Perfect 5th	d.S5	pao-P5	v5	s5		22/15
25	697.674	fifth	Perfect 5th		Medium Perfect 5th	S5/P5	P5				3/2
26	725.581	diminished sixth, high fifth	Super 5th		Large Perfect 5th	L5	d6, pai-P5	^5	d6		32/21
27	753.488	low augmented fifth, high diminished sixth	Low Subminor 6th		Interseptimal 5th-6th		pao-A5, pai-d6	vA5, ^d6		sA5, Sd6	20/13
28	781.395	low minor sixth	High Subminor 6th		Small Minor 6th	Sm6/m.m6	A5, pao-m6	vm6	sm6, A5		14/9, 11/7
29	809.302	Minor 6th			MediuenMinor 6th	(L)m6	m6				8/5
30	837.209	low neutral sixth	Superminor 6th		Large Minor 6th	Wm6	pai-m6	^m6	Sm6		18/11, 13/8
31	865.116	high neutral sixth	Submajor 6th		Large Neutral 6th	NM6	pao-M6	vM6	sM6		28\17, 64\39
32	893.023	Major 6th			Small Major 6th	(S)M6	M6				5/3
33	920.93	high major sixth	Supermajor 6th		Large Major 6th	LM6	pai-M6, d7	^M6	SM6, d7		12/7
34	948.837	low augmented sixth, high diminished seventh	Super 6th, Sub 7th		Diatonic Minor 7th, Interseptimal 6th-7th	A.LM6/d.Sm7	pao-A6, pai-d7	vA6, ^d7	Sinth*	sA6, Sd7	26/15
35	976.744	low minor seventh, augmented sixth	Subminor 7th		Low Neutral Minor 7th	Sm7	pao-m7, A6	vm7	sm7, A6		7/4
36	1004.651	Minor 7th			High Neutral Minor 7th	(L)m7	m7				16/9, 9/5
37	1032.558	low neutral seventh	Superminor 7th		Chromatic Minor 7th, Small Neutral 7th	A.Lm7	pai-m7	^m7	Sm7		20/11
38	1060.465	high neutral seventh	Submajor 7th		Large Neutral 7th	Wm7/NM7	pao-M7	vM7	sM7		11/6, 24/13, 13/7
39	1088.372	Major 7th			Diatonic Major 7th	SM7	M7				15/8, 28/15
40	1116.279	diminished octave	Low Supermajor 7th		Neutral Major 7th	M7	d8, pai-M7	^M7	SM7. d8		40/21
41	1144.186	high diminished octave	High Supermajor 7th		Chromatic Major 7th	LM7	pai-d8, pao-A7	vA7, ^d8	*Septave	sA7, Sd8	64/33
42	1172.093	low octave, augmented seventh	Ultramajor 7th			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.