Μμton

This is still a work in progress. It may be changed in the future.

Μμton (pronounced Micro-mewwwton) Is an esolang based on self-similar embedded microstystems of microtonal scales within modular input intervals.

Definitions

A Mμton is defined as:

Mμton

letter	basis	meaning (cumulative)	:word"
M	53	base53(Microsystem)	"Micro"
μ	27	base27(microsystem) "	"miu"
t	20	base20(T)	"t:\\tea\tee=n+20"
o	13	base13(O)	"Oh"
n	1	mod.basis(e^2)	"On"

Sytems must be presented algebraically similar to the Atanasoff Berry Computer i.e. ABC systems. Recursion is linearly bounded.

M‑series (base53) with embedded miu‑series (base27) and base20 series (d–w)

d53	ratio53	cents53	d27	ratio27	cents27	var20	ratio20	cents20	d13	ratio13	chromatic + 1 half-flat	note
9	1.124911356	203.774	0	1.000000000	0.000	d	1.035264924	60.000	0	1.000000000	0.000	A
10	1.139719850	226.415	1	1.026004485	44.444	e	1.071773463	120.000	1	1.059463094	100.000	A#
11	1.154723285	249.057	2	1.052685203	88.889	f	1.109569472	180.000	2	1.122462048	200.000	B
12	1.169924228	271.698	3	1.080059739	133.333	g	1.148698355	240.000	3	1.189207115	300.000	C
13	1.185325278	294.340	4	1.108146136	177.778	h	1.189207115	300.000	4	1.259921050	400.000	C#
14	1.200929069	316.981	5	1.136962905	222.222	i	1.231144413	360.000	5	1.334839854	500.000	D
15	1.216738271	339.623	6	1.166529040	266.667	j	1.274560627	420.000	6	1.414213562	600.000	D#
16	1.232755588	362.264	7	1.196864026	311.111	k	1.319507911	480.000	7	1.498307077	700.000	E
17	1.248983759	384.906	8	1.227987858	355.556	l	1.366040257	540.000	8	1.587401052	800.000	F
18	1.265425560	407.547	9	1.259921050	400.000	m	1.414213562	600.000	9	1.681792831	900.000	F#
19	1.282083803	430.189	10	1.292684648	444.444	n	1.464085696	660.000	10	1.781797436	1000.000	G
20	1.298961337	452.830	11	1.326300246	488.889	o	1.515716567	720.000	11	1.887748625	1100.000	G#
21	1.316061050	475.472	12	1.360790000	533.333	p	1.569168196	780.000	12	1.943063882	1150.000	A half-sharp ('Z)
22	1.333385866	498.113	13	1.396176643	577.778	q	1.624504793	840.000
23	1.350938748	520.755	14	1.432483497	622.222	r	1.681792831	900.000
24	1.368722699	543.396	15	1.469734492	666.667	s	1.741101127	960.000
25	1.386740761	566.038	16	1.507954180	711.111	t	1.802500925	1020.000
26	1.404996014	588.679	17	1.547167752	755.556	u	1.866065983	1080.000
27	1.423491583	611.321	18	1.587401052	800.000	v	1.931872658	1140.000
28	1.442230630	633.962	19	1.628680598	844.444	w	2.000000000	1200.000
29	1.461216360	656.604	20	1.671033598	888.889
30	1.480452021	679.245	21	1.714487966	933.333
31	1.499940903	701.887	22	1.759072342	977.778
32	1.519686340	724.528	23	1.804816112	1022.222
33	1.539691708	747.170	24	1.851749425	1066.667
34	1.559960430	769.811	25	1.899903214	1111.111
35	1.580495972	792.453	26	1.949309218	1155.556
36	1.601301847	815.094	27	2.000000000	1200.000
37	1.622381614	837.736
38	1.643738877	860.377
39	1.665377291	883.019
40	1.687300556	905.660
41	1.709512422	928.302
42	1.732016688	950.943
43	1.754817203	973.585
44	1.777917868	996.226
45	1.801322633	1018.868
46	1.825035502	1041.509
47	1.849060530	1064.151
48	1.873401827	1086.792
49	1.898063557	1109.434
50	1.923049937	1132.075
51	1.948365241	1154.717

See also

The macroset table generator exists here. (Github)