4L 7s

↖ 3L 6s	↑ 4L 6s	5L 6s ↗
← 3L 7s	4L 7s	5L 7s →
↙ 3L 8s	↓ 4L 8s	5L 8s ↘

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Scale structure
Step pattern	LsLssLssLss ssLssLssLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	8\11 to 3\4 (872.7 ¢ to 900.0 ¢)
Dark	1\4 to 3\11 (300.0 ¢ to 327.3 ¢)
TAMNAMS information
Related to	4L 3s (smitonic)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	4L 3s
Sister	7L 4s
Daughters	11L 4s, 4L 11s
Neutralized	8L 3s
2-Flought	15L 7s, 4L 18s
Equal tunings
Equalized (L:s = 1:1)	8\11 (872.7 ¢)
Supersoft (L:s = 4:3)	27\37 (875.7 ¢)
Soft (L:s = 3:2)	19\26 (876.9 ¢)
Semisoft (L:s = 5:3)	30\41 (878.0 ¢)
Basic (L:s = 2:1)	11\15 (880.0 ¢)
Semihard (L:s = 5:2)	25\34 (882.4 ¢)
Hard (L:s = 3:1)	14\19 (884.2 ¢)
Superhard (L:s = 4:1)	17\23 (887.0 ¢)
Collapsed (L:s = 1:0)	3\4 (900.0 ¢)

4L 7s or mynatonic my-na-TON-ik /maɪnəˈtɒnɪk/ refers to the structure of MOS scales with generators ranging from 1\4edo (one degree of 4edo, 300¢) to 3\11edo (three degrees of 11edo, 327.27¢), representing approximate diatonic minor thirds (6/5). The name refers to the temperament that is one of the harmonic entropy minimums in this range (Myna), as well as being a pun on "minor third".

4L 7s has a heptatonic subset, which is the hard end of the spectrum of the smitonic scale (4L 3s).

Notation

The notation used in this article is LssLsLssLss = А҃В҃Г҃Д҃Е҃Ѕ҃З҃И҃Ѳ҃І҃Ѫ҃А҃, based on old Cyrillic numerals 1-10 using the titlo as a numeric sign, and the addition of the big yus (Ѫ) for 11. Chromas are represented by regular sharps and flats. Thus the 15edo gamut is as follows: А҃ А҃#/В҃b В҃ Г҃ Д҃ Д҃#/Е҃b Е҃ Ѕ҃ Ѕ҃#/З҃b З҃ И҃ Ѳ҃ Ѳ҃#/І҃b І҃ Ѫ҃ А҃

Letter names

The letters can be named in English as such: Az, Vede, Glagol, Dobro, Yest, Dzelo, Zemlya, Izhe, Thita, I(Ee), Yus.

Intervals

Generators	Notation (1/1 = А҃)	Interval category name	Generators	Notation of 2/1 inverse	Interval category name
The 11-note MOS has the following intervals (from some root):
0	А҃	perfect unison	0	А҃	dodecave (same as octave)
1	Д҃	perfect myfourth (minor third)	-1	Ѳ҃	perfect myninth (major sixth)
2	З҃b	minor myseventh	-2	Ѕ҃	major mysixth
3	І҃b	minor mytenth	-3	Г҃	major mythird
4	В҃b	minor mysecond	-4	Ѫ҃	major myeleventh
5	Е҃b	minor myfifth	-5	И҃	major myeight
6	И҃b	minor myeight	-6	Е҃	major myfifth
7	Ѫ҃b	minor myeleventh	-7	В҃	major mysecond
8	Г҃b	minor mythird	-8	І҃	major mytenth
9	Ѕ҃b	minor mysixth	-9	З҃	major myseventh
10	Ѳ҃b	diminished myninth	-10	Д҃#	augmented mythird
The chromatic 15-note MOS (either 4L 11s, 11L 4s, or 15edo) also has the following intervals (from some root):
11	А҃b	diminished dodecave	-11	А҃#	augmented unison (mychroma, mycomma)
12	Д҃b	diminished myfourth	-12	Ѳ҃#	augmented myninth
13	З҃bb	diminished myseventh	-13	Ѕ҃#	augmented mysixth
14	І҃bb	diminished mytenth	-14	Г҃#	augmented mythird

Genchain

The generator chain for this scale is as follows:

Д҃b

А҃b

Ѳ҃b

Ѕ҃b

Г҃b

Ѫ҃b

И҃b

Е҃b

В҃b

І҃b

З҃b

Д҃

А҃

Ѳ҃

Ѕ҃

Г҃

Ѫ҃

И҃

Е҃

В҃

І҃

З҃

Д҃#

А҃#

Ѳ҃#

Ѕ҃#

Г҃#

Ѫ҃#

И҃#

Е҃#

В҃#

І҃#

З҃#

d4

d12

d9

m6

m3

m11

m8

m5

m2

m10

m7

P4

P1

P9

M6

M3

M11

M8

M5

M2

M10

M7

A4

A1

A9

A6

A3

A11

A8

A5

A2

A10

A7

Tuning ranges

Soft range

The soft range for tunings of mynatonic encompasses parasoft and hyposoft tunings. This implies step ratios smaller than 2/1, meaning a generator sharper than 4\15 = 320¢. This is the range associated with extensions of Orgone[7].

Hypohard

Hypohard tunings of mynatonic have step ratios between 2/1 and 3/1, implying a generator sharper than 5\19 = 315.79¢ and flatter than 4\15 = 320¢. This range represents one of the harmonic entropy minimums, where 6 generators make a just diatonic fifth (3/2), an octave above. This is the range associated with kleismic temperament (and its extensions).

Parahard

Parahard tunings of mynatonic have step ratios between 3/1 and 4/1, implying a generator sharper than 6\23 = 313.04¢ and flatter than 5\19 = 315.79¢. The minor third is at its purest here, but the resulting scales tend to result in intervals that employ a much higher limit harmony, especially in the case of the superhard 23edo.

Hyperhard

Hyperhard tunings of mynatonic have step ratios between 4/1 and 6/1, implying a generator sharper than 8\31 = 309.68¢ and flatter than 6\23 = 313.04¢. The eponymous temperament, Myna, resides here, as this is the range where 10 generators make a just diatonic fifth (3/2), two octaves above. These scales are stacked with simple intervals, but it's melodically difficult due to the extreme step size disparity.

Modes

The names are based on smitonic modes, modified with the "super-" prefix, with thematic additions, as there are an extra 4 modes available.

Mode	UDP	Name
LsLssLssLss	10|0	Supernerevarine
LssLsLssLss	9|1	Supervivecan
LssLssLsLss	8|2	Supernumidian
LssLssLssLs	7|3	Superlorkhanic
sLsLssLssLs	6|4	Superbaardauan
sLssLsLssLs	5|5	Supersothic
sLssLssLsLs	4|6	Supervvardenic
sLssLssLssL	3|7	Superkagrenacan
ssLsLssLssL	2|8	Supernecromic
ssLssLsLssL	1|9	Superalmalexian
ssLssLssLsL	0|10	Superdagothic

Scale tree

The spectrum looks like this:

1\4								300¢
							10\39	307.692
						9\35		308.571
					8\31			309.677	Myna
							23\89	310.112	Myna
						15\58		310.345	Myna
				7\27				311.111	Starlingtet
			6\23					313.043	Skateboard
					17\65			313.846
				11\42				314.286
					16\61			314.754
						21\80		315
							26\99	315.152	Parakleismic
								315.332
		5\19						315.789	Keemun
					19\72			316.667	Catakleismic
								316.785
				14\53				316.981	Hanson/Marveltwintri/Cata
								317.17
					23\87			317.241	Countercata
			9\34					317.647
	4\15							320	Boundary of propriety (generators larger than this are proper)
								321.539
			11\41					321.951	Superkleismic
								322.268
				18\67				322.388
								322.585
		7\26						323.068	Magicaltet/Orgone
			10\37					324.324	Orgone
				13\48				325	Oregon
					16\59			325.424	Oregon
						19\70		325.714	Oregon
							22/81	325.926	Oregon
3\11								327.273	Oregon