15edo/Interval names

If you haven't made an interval naming system yet, make one and add a column when you finish your notation system!

steps	cents	Aaron's Answer	Igs' Input	Kite's Correction	Keenan Category	Margo's Method	Piotr Grochowski	SagiSpeak	ups and downs	Gareth's Go	Extra-diatonic 2	ratios
0	0	P1	Unison	Unison	P1	Unison	unison	P1	P1, m2	P1	P1	1/1
1	80	m2	Subminor 2nd	Subminor 2nd	m2	Minor 2nd	augmented unison	pai-P1	^1, ^m2	m2	S1	25/24, 21/20, 16/15
2	160	NM2 (Narrow M2)	Neutral 2nd	Neutral 2nd	M2	Large Neutral 2nd	high neutral second	pao-M2	vM2	M2	sM2	11/10, 12/11, 10/9
3	240	LM2	Supermajor 2nd	Supermajor 2nd	A2/d3	Large Major 2nd	second–third	M2	M2, m3	Serd*	M2, m3 (Serd)	8/7, 7/6, 9/8
4	320	Lm3	Minor 3rd	Minor 3rd	m3	Large Minor 3rd	minor third	pai-m3	^m3	m3	Sm3	6/5, 11/9
5	400	M3	Major 3rd	Major 3rd	M3	Major 3rd	major third	pao-M3	vM3	M3	sM3	5/4, 14/11
6	480	S4 (Small 4)	Sub 4th	Sub 4th	P4	Small Perfect 4th	low fourth	P4	M3, P4, d5	P4	M3, P4 (Thourth)	4/3, 9/7, 21/16
7	560	Na4/Sd5	Narrow Tritone	Super 4th	A4	Small Tritone	low augmented fourth	pai-P4	^4, ^d5	A4	S4	11/8, 7/5
8	640	La4/Wd5	Wide Tritone	Sub 5th	d5	Large Tritone	high diminished fifth	pao-P5	vA4, v5	d5	s5	16/11, 10/7
9	720	L5	Super 5th	Super 5th	P5	Large Perfect 5th	high fifth	P5	A4, P5, m6	P5	P5, m6 (Fixth)	3/2, 14/9, 32/21
10	800	m6	Minor 6th	Minor 6th	m6	Minor 6th	minor sixth	pai-m6	^5, ^m6	m6	Sm6	8/5, 11/7
11	880	SM6	Major 6th	Major 6th	M6	Small Major 6th	major sixth	pao-M6	vA5, vM6	M6	sM6	5/3, 18/11
12	960	SM7	Subminor 7th	Subminor 7th	A6/d7	Small Minor 7th	sixth–seventh	m7	M6, m7	Sinth*	M6, m7 (Sinth)	7/4, 12/7, 16/9
13	1040	Wm7	Neutral 7th	Neutral 7th	m7	Small Neutral 7th	low neutral seventh	pai-m7	^m7	m7	Sm7	20/11, 11/6, 9/5
14	1120	M7	Supermajor 7th	Supermajor 7th	M7	Major 7th	diminished octave	pao-P8	vM7, v8	M7	sM7	48/25, 40/21, 15/8
15	1200	P8	Octave	Octave	P8	Octave	octave	P8	M7, 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.

I've done this for 72edo as well. ^{[author: Gareth.hearne (talk)]}
and Piotr did it for 43edo