4L 7s

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

┌╥┬╥┬┬╥┬┬╥┬┬┐ │║│║││║││║│││ │││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┘
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 = ABCDEFGHJKL unless specified otherwise. Chromas are represented by regular sharps and flats. Thus the 15edo gamut is as follows: A A#/Bb B C D D#/Eb E F F#/Gb G H K K#Lb K L A

Intervals

U/C

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 of the harmonic entropy minimums, where 6 generators make a just diatonic fifth (3/2), an octave above.

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¢.

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.

Modes

To be arranged ("Super-" versions of smitonic modes, with additions)

• 10|0 Supernerevarine
• 9|1 Supervivecan
• 8|2 Supernumidian
• 7|3 Superlorkhanic
• 6|4 Superbaardauan
• 5|5 Supersothic
• 4|6 Supervvardenic
• 3|7 Superkagrenacan
• 2|8 Supernecromic
• 1|9 Superalmalexian
• 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