4L 7s: Difference between revisions
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{{Infobox MOS | {{Infobox MOS | ||
| Name = | | Name = kleistonic | ||
| Periods = 1 | | Periods = 1 | ||
| nLargeSteps = 4 | | nLargeSteps = 4 | ||
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}} | }} | ||
'''4L 7s''' or ''' | '''4L 7s''' or '''kleistonic''' ''kleys-TON-ik'' /klaɪsˈtɒnɪk/ 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 ([[Kleismic family|Kleismic/Hanson]]), itself named after the interval known as the [[kleisma]]. | ||
4L 7s has a heptatonic subset, which is the [[hard]] end of the spectrum of the [[smitonic]] scale (4L 3s). | 4L 7s has a heptatonic subset, which is the [[hard]] end of the spectrum of the [[smitonic]] scale (4L 3s). | ||
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==== Letter names ==== | ==== Letter names ==== | ||
The letters can be named in English as such: Az, Vede, Glagol, Dobro, Yest, Dzelo, Zemlya, Izhe, Thita, I(Ee), Yus. | The letters can be named in English as such: Az, Vede, Glagol, Dobro, Yest, Dzelo, Zemlya, Izhe, Thita, I(Ee), Yus. They can also be named as numbers 1-11. | ||
== Intervals == | == Intervals == | ||
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=== Hypohard === | === 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¢. | 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 [[ | 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 the eponymous Kleismic temperament and its extensions, such as the 5-limit [[Hanson]]. | ||
=== Parahard === | === Parahard === | ||
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=== Hyperhard === | === 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¢. | 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 | The temperament known as Myna (a pun on "minor third") 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 | These scales are stacked with simple intervals, but are melodically difficult due to the extreme step size disparity. | ||
== Modes == | == Modes == | ||