4L 7s

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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 = 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

Temperaments

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
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