4L 7s: Difference between revisions
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{{Infobox MOS | {{Infobox MOS | ||
| Name = | | Name = mynatonic | ||
| Periods = 1 | | Periods = 1 | ||
| nLargeSteps = 4 | | nLargeSteps = 4 | ||
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}} | }} | ||
'''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.<u>27</u>¢), 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|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: | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||