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| | nSmallSteps = 7 | | | nSmallSteps = 7 |
| | Equalized = 3 | | | Equalized = 3 |
| | Paucitonic = 1 | | | Collapsed = 1 |
| | Pattern = LssLssLssLs | | | Pattern = LssLssLssLs |
| }} | | }} |
| | {{MOS intro}} |
| | One of the [[harmonic entropy]] minimums in this range is [[Kleismic family|Kleismic/Hanson]]. |
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| '''4L 7s''' refers to the structure of [[MOS scale]]s with generators ranging from 1\4edo (one degree of 4edo, 300¢) to 3\11edo (three degrees of 11edo, 327.{{overline|27}}¢), representing approximate diatonic minor thirds ([[6/5]]). One of the [[harmonic entropy]] minimums in this range is [[Kleismic family|Kleismic/Hanson]]. | | == Name == |
| | TAMNAMS formerly used the name ''kleistonic'' for the name of this scale (prefix ''klei-''). Other names include '''p-chro smitonic''' or '''smipechromic'''. |
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| |
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| 4L 7s has a heptatonic subset, which is the [[hard]] end of the spectrum of the [[smitonic]] scale (4L 3s).
| | == Scale properties == |
| | {{TAMNAMS use}} |
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| |
|
| A proposed name for this scale is '''kleistonic''', based on an extension of [[TAMNAMS]] to bigger MOS scales.
| | === Intervals === |
| | {{MOS intervals}} |
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| |
|
| == Notation == | | === Generator chain === |
| The notation used in this article is LssLsLssLss = АВГДЕЅЗИѲІѦА, based on old Cyrillic numerals 1-10, and the addition of the small yus (Ѧ) for 11 (old "ya" symbolically representing І҃А҃=11). A titlo can be optionally used as a numeric sign (А҃), depending on font rendering, clarity, and style. Chromas are represented by regular sharps and flats.
| | {{MOS genchain}} |
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| |
|
| Thus the 15edo gamut is as follows: '''А''' А#/Вb '''В Г Д''' Д#/Еb '''Е Ѕ''' Ѕ#/Зb '''З И Ѳ''' Ѳ#/Іb '''І Ѧ А'''
| | === Modes === |
| | {{MOS mode degrees}} |
|
| |
|
| ==== Letter names ====
| | == Tuning ranges== |
| The letters can be named in English as such: Az, Vede, Glagol, Dobro, Yest, Dzelo, Zemlya, Izhe, Thita, I (Ee), Yas. They can also be named as numbers 1-11.
| |
| | |
| == Intervals ==
| |
| {| class="wikitable center-all"
| |
| |-
| |
| ! Generators
| |
| ! Notation (1/1 = А҃)
| |
| ! Interval category name
| |
| ! Generators
| |
| ! Notation of 2/1 inverse
| |
| ! Interval category name
| |
| |-
| |
| | colspan="6" style="text-align:left" | The 11-note MOS has the following intervals (from some root):
| |
| |-
| |
| | 0
| |
| | А
| |
| | perfect unison
| |
| | 0
| |
| | А
| |
| | dodecave (same as octave)
| |
| |-
| |
| | 1
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| | Д
| |
| | perfect kleifourth (minor third)
| |
| | -1
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| | Ѳ
| |
| | perfect kleininth (major sixth)
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| |-
| |
| | 2
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| | Зb
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| | minor kleiseventh
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| | -2
| |
| | Ѕ
| |
| | major kleisixth
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| |-
| |
| | 3
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| | Іb
| |
| | minor kleitenth
| |
| | -3
| |
| | Г
| |
| | major kleithird
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| |-
| |
| | 4
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| | Вb
| |
| | minor kleisecond
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| | -4
| |
| | Ѧ
| |
| | major kleieleventh
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| |-
| |
| | 5
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| | Еb
| |
| | minor kleififth
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| | -5
| |
| | И
| |
| | major kleieighth
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| |-
| |
| | 6
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| | Иb
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| | minor kleieighth
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| | -6
| |
| | Е
| |
| | major kleififth
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| |-
| |
| | 7
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| | Ѧb
| |
| | minor kleieleventh
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| | -7
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| | В
| |
| | major kleisecond
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| |-
| |
| | 8
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| | Гb
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| | minor kleithird
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| | -8
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| | І
| |
| | major kleitenth
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| |-
| |
| | 9
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| | Ѕb
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| | minor kleisixth
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| | -9
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| | З
| |
| | major kleiseventh
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| |-
| |
| | 10
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| | Ѳb
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| | diminished kleininth
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| | -10
| |
| | Д#
| |
| | augmented kleithird
| |
| |-
| |
| | colspan="6" style="text-align:left" | The chromatic 15-note MOS (either [[4L 11s]], [[11L 4s]], or [[15edo]]) also has the following intervals (from some root):
| |
| |-
| |
| | 11
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| | Аb
| |
| | diminished dodecave
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| | -11
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| | А#
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| | augmented unison (chroma)
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| |-
| |
| | 12
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| | Дb
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| | diminished kleifourth
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| | -12
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| | Ѳ#
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| | augmented kleininth
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| |-
| |
| | 13
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| | Зbb
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| | diminished kleiseventh
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| | -13
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| | Ѕ#
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| | augmented kleisixth
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| |-
| |
| | 14
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| | Іbb
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| | diminished kleitenth
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| | -14
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| | Г#
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| | augmented kleithird
| |
| |}
| |
| | |
| == Genchain ==
| |
| The generator chain for this scale is as follows:
| |
| {| class="wikitable center-all"
| |
| |-
| |
| | Дb
| |
| | Аb
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| | Ѳb
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| | Ѕb
| |
| | Гb
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| | Ѧb
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| | Иb
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| | Еb
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| | Вb
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| | Іb
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| | Зb
| |
| | Д
| |
| | А
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| | Ѳ
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| | Ѕ
| |
| | Г
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| | Ѧ
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| | И
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| | Е
| |
| | В
| |
| | І
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| | З
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| | Д#
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| | А#
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| | Ѳ#
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| | Ѕ#
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| | Г#
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| | Ѧ#
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| | И#
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| | Е#
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| | В#
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| | І#
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| | З#
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| |-
| |
| | d4
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| | d12
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| | d9
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| | m6
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| | m3
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| | m11
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| | m8
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| | m5
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| | m2
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| | m10
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| | m7
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| | P4
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| | P1
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| | P9
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| | M6
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| | M3
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| | M11
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| | M8
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| | M5
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| | M2
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| | M10
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| | M7
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| | A4
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| | A1
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| | A9
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| | A6
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| | A3
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| | A11
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| | A8
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| | A5
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| | A2
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| | A10
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| | A7
| |
| |}
| |
| | |
| == Tuning ranges == | |
| === Soft range === | | === Soft range === |
| The soft range for tunings of kleistonic encompasses parasoft and hyposoft tunings. This implies step ratios smaller than 2/1, meaning a generator sharper than 4\15 = 320¢. | | The soft range for tunings of 4L 7s encompasses parasoft and hyposoft tunings. This implies step ratios smaller than 2/1, meaning a generator sharper than {{nowrap|4\15 {{=}} 320{{c}}}}. |
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| |
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| This is the range associated with extensions of [[Orgone|Orgone[7]]]. The small step is recognizable as a near diatonic semitone, while the large step is in the ambiguous area of neutral seconds. | | This is the range associated with extensions of [[Orgone|Orgone[7]]]. The small step is recognizable as a near diatonic semitone, while the large step is in the ambiguous area of neutral seconds. |
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| |
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| Soft kleistonic edos include [[15edo]] and [[26edo]]. | | Soft edos include [[15edo]] and [[26edo]]. |
| The sizes of the generator, large step and small step of kleistonic are as follows in various soft kleistonic tunings: | | The sizes of the generator, large step and small step of 4L 7s are as follows in various soft tunings: |
| {| class="wikitable right-2 right-3 right-4" | | {| class="wikitable right-2 right-3 right-4" |
| |- | | |- |
| ! | | ! |
| ![[15edo]] (basic) | | ! [[15edo]] (basic) |
| ! [[26edo]] (soft) | | ! [[26edo]] (soft) |
| ! Some JI approximations | | ! Some JI approximations |
| Line 247: |
Line 57: |
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| === Hypohard === | | === Hypohard === |
| [[File:19EDO_Kleistonic_cheat_sheet.png|400px|thumb|right|Cheat sheet for 19EDO kleistonic, a hard kleistonic tuning]]
| | Hypohard tunings of 4L 7s have step ratios between 2/1 and 3/1, implying a generator sharper than {{nowrap|5\19 {{=}} 315.79{{c}}}} and flatter than {{nowrap|4\15 {{=}} 320{{c}}}}. |
| Hypohard tunings of kleistonic have step ratios between 2/1 and 3/1, implying a generator sharper than 5\19 = 315.79¢ and flatter than 4\15 = 320¢. | |
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|
| 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 (aka [[Hanson]]) temperament and its extensions. | | 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 (aka [[Hanson]]) temperament and its extensions. |
|
| |
|
| Hypohard kleistonic edos include [[15edo]], [[19edo]], and [[34edo]]. | | Hypohard edos include [[15edo]], [[19edo]], and [[34edo]]. |
| The sizes of the generator, large step and small step of kleistonic are as follows in various hypohard kleistonic tunings: | | The sizes of the generator, large step and small step of 4L 7s are as follows in various hypohard tunings: |
| {| class="wikitable right-2 right-3 right-4" | | {| class="wikitable right-2 right-3 right-4" |
| |- | | |- |
| Line 268: |
Line 77: |
| | 6/5 | | | 6/5 |
| |- | | |- |
| | L (octave - 3g) | | | L ({{nowrap|octave − 3g}}) |
| | 2\15, 160.00 | | | 2\15, 160.00 |
| | 3\19, 189.47 | | | 3\19, 189.47 |
| Line 274: |
Line 83: |
| | 10/9, 11/10 (in 15edo) | | | 10/9, 11/10 (in 15edo) |
| |- | | |- |
| | s (4g - octave) | | | s ({{nowrap|4g − octave}}) |
| | 1\15, 80.00 | | | 1\15, 80.00 |
| | 1\19, 63.16 | | | 1\19, 63.16 |
| Line 282: |
Line 91: |
|
| |
|
| === Parahard === | | === Parahard === |
| Parahard tunings of kleistonic 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¢. | | Parahard tunings of 4L 7s 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 approximate intervals that employ a much higher limit harmony, especially in the case of the superhard 23edo. However, the large step is recognizable as a regular diatonic whole step, approximating both 10/9 and 9/8, while the small step is a slightly sharp of a quarter tone. | | The minor third is at its purest here, but the resulting scales tend to approximate intervals that employ a much higher limit harmony, especially in the case of the superhard 23edo. However, the large step is recognizable as a regular diatonic whole step, approximating both 10/9 and 9/8, while the small step is a slightly sharp of a quarter tone. |
|
| |
|
| Parahard kleistonic edos include [[19edo]], 23[[23edo|edo]], and [[42edo]]. | | Parahard edos include [[19edo]], 23[[23edo|edo]], and [[42edo]]. |
| The sizes of the generator, large step and small step of kleistonic are as follows in various parahard kleistonic tunings: | | The sizes of the generator, large step and small step of 4L 7s are as follows in various parahard tunings: |
| {| class="wikitable right-2 right-3 right-4" | | {| class="wikitable right-2 right-3 right-4" |
| |- | | |- |
| ! | | ! |
| ![[19edo]] (hard) | | ! [[19edo]] (hard) |
| ![[23edo]] (superhard) | | ! [[23edo]] (superhard) |
| ! [[42edo]] (parahard) | | ! [[42edo]] (parahard) |
| ! Some JI approximations | | ! Some JI approximations |
| Line 302: |
Line 111: |
| | 6/5 | | | 6/5 |
| |- | | |- |
| | L (octave - 3g) | | | L ({{nowrap|octave − 3g}}) |
| | 3\19, 189.47 | | | 3\19, 189.47 |
| | 4\23, 208.70 | | | 4\23, 208.70 |
| Line 308: |
Line 117: |
| | 10/9, 9/8 | | | 10/9, 9/8 |
| |- | | |- |
| | s (4g - octave) | | | s ({{nowrap|4g − octave}}) |
| | 1\19, 63.16 | | | 1\19, 63.16 |
| | 1\23, 52.17 | | | 1\23, 52.17 |
| Line 315: |
Line 124: |
| |} | | |} |
|
| |
|
| === Hyperhard === | | === Hyperhard=== |
| Hyperhard tunings of kleistonic 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 4L 7s 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 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. | | 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 are melodically difficult due to the extreme step size disparity, where the small step is generally flat of a quarter tone. | | These scales are stacked with simple intervals, but are melodically difficult due to the extreme step size disparity, where the small step is generally flat of a quarter tone. |
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|
| Hyperhard kleistonic edos include [[23edo]], [[31edo]], and [[27edo]]. | | Hyperhard edos include [[23edo]], [[31edo]], and [[27edo]]. |
| The sizes of the generator, large step and small step of kleistonic are as follows in various hyperhard kleistonic tunings: | | The sizes of the generator, large step and small step of 4L 7s are as follows in various hyperhard tunings: |
| {| class="wikitable right-2 right-3 right-4" | | {| class="wikitable right-2 right-3 right-4" |
| |- | | |- |
| Line 337: |
Line 146: |
| | 6/5 | | | 6/5 |
| |- | | |- |
| | L (octave - 3g) | | | L ({{nowrap|octave − 3g}}) |
| | 4\23, 208.70 | | | 4\23, 208.70 |
| | 6\31, 232.26 | | | 6\31, 232.26 |
| Line 343: |
Line 152: |
| | 8/7, 9/8 | | | 8/7, 9/8 |
| |- | | |- |
| | s (4g - octave) | | | s ({{nowrap|4g − octave}}) |
| | 1\23, 52.17 | | | 1\23, 52.17 |
| | 1\31, 38.71 | | | 1\31, 38.71 |
| | 1\27, 44.44 | | | 1\27, 44.44 |
| | 36/35, 45/44 | | | 36/35, 45/44 |
| |}
| |
|
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| == Modes ==
| |
| The names are based on smitonic modes, modified with the "super-" prefix, with thematic additions, as there are an extra 4 modes available.
| |
|
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| {| class="wikitable center-all"
| |
| |-
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| ! Mode
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| ! [[Modal UDP Notation|UDP]]
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| ! Name
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| |-
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| | LsLssLssLss
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| | <nowiki>10|0</nowiki>
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| | Supernerevarine
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| |-
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| | LssLsLssLss
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| | <nowiki>9|1</nowiki>
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| | Supervivecan
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| |-
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| | LssLssLsLss
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| | <nowiki>8|2</nowiki>
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| | Superbaardauan
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| |-
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| | LssLssLssLs
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| | <nowiki>7|3</nowiki>
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| | Superlorkhanic
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| |-
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| | sLsLssLssLs
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| | <nowiki>6|4</nowiki>
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| | Supervvardenic
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| |-
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| | sLssLsLssLs
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| | <nowiki>5|5</nowiki>
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| | Supersothic
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| |-
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| | sLssLssLsLs
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| | <nowiki>4|6</nowiki>
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| | Supernumidian
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| |-
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| | sLssLssLssL
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| | <nowiki>3|7</nowiki>
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| | Superkagrenacan
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| |-
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| | ssLsLssLssL
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| | <nowiki>2|8</nowiki>
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| | Supernecromic
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| |-
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| | ssLssLsLssL
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| | <nowiki>1|9</nowiki>
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| | Superalmalexian
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| |-
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| | ssLssLssLsL
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| | <nowiki>0|10</nowiki>
| |
| | Superdagothic
| |
| |} | | |} |
|
| |
|
| == Temperaments == | | == Temperaments == |
|
| |
| == Scales == | | == Scales == |
| * [[Oregon11]] | | * [[Oregon11]] |
| Line 415: |
Line 169: |
|
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|
| == Scale tree == | | == Scale tree == |
| The spectrum looks like this:
| | {{MOS tuning spectrum |
| {| class="wikitable center-all"
| | | 6/5 = [[Oregon]] |
| ! colspan="6" rowspan="2" | Generator
| | | 10/7 = [[Orgone]] |
| ! colspan="2" | Cents
| | | 11/7 = [[Magicaltet]] |
| ! colspan="2" |1500edo
| | | 13/8 = Golden superklesimic |
| ! rowspan="2" | L
| | | 5/3 = [[Superkleismic]] |
| ! rowspan="2" | s
| | | 7/3 = [[Catalan]] |
| ! rowspan="2" | L/s
| | | 13/5 = [[Countercata]] |
| ! rowspan="2" | Comments
| | | 8/3 = [[Hanson]]/[[cata]] |
| |-
| | | 11/4 = [[Catakleismic]] |
| ! Chroma-positive
| | | 10/3 = [[Parakleismic]] |
| ! Chroma-negative
| | | 9/2 = [[Oolong]] |
| !Chroma-positive
| | | 5/1 = [[Starlingtet]] |
| !Chroma-negative
| | | 6/1 = [[Myna]] |
| |-
| | }} |
| | 8\11 || || || || || || 872.{{overline|72}}|| 327.{{overline|27}}
| | |
| |1090.{{overline|90}}
| | == Gallery == |
| |409.{{overline|09}}|| 1 || 1 || 1.000 ||
| | [[File:19EDO_Kleistonic_cheat_sheet.png|825x825px|thumb|Cheat sheet for 19EDO, a hard tuning for 4L 7s (or kleistonic).|alt=|left]] |
| |-
| |
| | || || 43\59|| || || || 874.576… || 325.423…
| |
| |1093.220…
| |
| |406.779…|| 6 || 5 || 1.200 || Oregon
| |
| |-
| |
| | || 35\48|| || || || || 875.000 || 325.000
| |
| |1093.75
| |
| |406.25|| 5 || 4 || 1.250 ||
| |
| |-
| |
| | || || 62\85|| || || || 875.294… || 324.705…
| |
| |1094.117…
| |
| |405.882…|| 9 || 7 || 1.286 ||
| |
| |-
| |
| | 27\37|| || || || || || 875.{{overline|675}}|| 324.{{overline|324}}
| |
| |1094.{{overline|594}}
| |
| |405.{{overline|405}}|| 4 || 3 || 1.333 ||
| |
| |-
| |
| | || || 73\100|| || || || 876.000 || 324.000
| |
| |1095
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| |405|| 11 || 8 || 1.375 ||
| |
| |-
| |
| | || 46\63|| || || || || 876.190… || 323.809…
| |
| |1095.238…
| |
| |404.761…|| 7 || 5 || 1.400 ||
| |
| |-
| |
| | || || 65\89|| || || || 876.404… || 323.595…
| |
| |1095.505…
| |
| |404.494…|| 10 || 7 || 1.428 || Orgone
| |
| |- | |
| | 19\26|| || || || || || 876.923… || 323.076…
| |
| |1096.153…
| |
| |403.846…|| 3 || 2 || 1.500 || L/s = 3/2
| |
| |-
| |
| | || || 68\93|| || || || 877.419… || 322.580…
| |
| |1096.774…
| |
| |403.225…|| 11 || 7 || 1.571 || Magicaltet
| |
| |-
| |
| | || 49\67|| || || || || 877.611… || 322.388…
| |
| |1097.014…
| |
| |402.985…|| 8 || 5 || 1.600 ||
| |
| |-
| |
| | || || 79\108|| || || || 877.{{overline|7}}|| 322.{{overline|2}}
| |
| |1097.{{overline|2}}
| |
| |402.{{overline|7}}|| 13 || 8 || 1.625 || Golden superkleismic
| |
| |-
| |
| | || 30\41|| || || || || 878.048… || 321.951…
| |
| |1097.560…
| |
| |402.439…|| 5 || 3 || 1.667 || Superkleismic
| |
| |-
| |
| | || || 71\97|| || || || 878.350… || 321.649…
| |
| |1097.938…
| |
| |402.061…|| 12 || 7 || 1.714 ||
| |
| |-
| |
| | || 41\56|| || || || || 878.571… || 321.428…
| |
| |1098.214…
| |
| |401.785…|| 7 || 4 || 1.750 ||
| |
| |-
| |
| | || || 52\71|| || || || 878.873… || 321.126…
| |
| |1098.591…
| |
| |401.408…|| 9 || 5 || 1.800 ||
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |63\86
| |
| |
| |
| |
| |
| |879.069…
| |
| |320.930…
| |
| |1098.837…
| |
| |401.162…
| |
| |11
| |
| |6
| |
| |1.833
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |74\101
| |
| |
| |
| |879.207…
| |
| |320.792…
| |
| |1099.009…
| |
| |400.990…
| |
| |13
| |
| |7
| |
| |1.857
| |
| |
| |
| |-
| |
| | 11\15|| || || || || || 880.000 || 320.000
| |
| |1100
| |
| |400|| 2 || 1 || 2.000 || Basic kleistonic<br>(Generators smaller than this are proper)
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |80\109
| |
| |880.733…
| |
| |319.266…
| |
| |1100.917…
| |
| |399.092…
| |
| |15
| |
| |7
| |
| |2.143
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |69\94
| |
| |
| |
| |880.851…
| |
| |319.148…
| |
| |1101.063…
| |
| |398.936…
| |
| |13
| |
| |6
| |
| |2.167
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |58\79
| |
| |
| |
| |
| |
| |881.012…
| |
| |318.987…
| |
| |1101.265…
| |
| |398.734…
| |
| |11
| |
| |5
| |
| |2.200
| |
| |
| |
| |-
| |
| | || || 47\64|| || || || 881.250 || 318.750
| |
| |1101.5625
| |
| |398.4375|| 9 || 4 || 2.250 ||
| |
| |-
| |
| | || 36\49|| || || || || 881.632… || 318.367…
| |
| |1102.040…
| |
| |397.959…|| 7 || 3 || 2.333 || Catalan
| |
| |-
| |
| | || || 61\83|| || || || 881.927… || 318.072…
| |
| |1102.409…
| |
| |397.590…|| 12 || 5 || 2.400 ||
| |
| |-
| |
| | || 25\34|| || || || || 882.352… || 317.647…
| |
| |1102.941…
| |
| |397.059…|| 5 || 2 || 2.500 ||
| |
| |-
| |
| | || || 64\87|| || || || 882.758… || 317.241…
| |
| |1103.448…
| |
| |396.551…|| 13 || 5 || 2.600 || Countercata
| |
| |-
| |
| | || 39\53|| || || || || 883.018… || 316.981…
| |
| |1103.773…
| |
| |396.226…|| 8 || 3 || 2.667 || Hanson/cata
| |
| |-
| |
| | || || 53\72|| || || || 883.{{overline|3}}|| 316.{{overline|6}}
| |
| |1104.1{{overline|6}}
| |
| |395.8{{overline|3}}|| 11 || 4 || 2.750 || Catakleismic
| |
| |- | |
| | 14\19|| || || || || || 884.210… || 315.789…
| |
| |1105.263…
| |
| |394.736…|| 3 || 1 || 3.000 || L/s = 3/1
| |
| |-
| |
| | || || || 45\61|| || || 885.245… || 314.754…
| |
| |1106.557…
| |
| |393.442…|| 10 || 3 || 3.333 || Parakleismic
| |
| |-
| |
| | || || 31\42|| || || || 885.714… || 314.285…
| |
| |1107.142…
| |
| |392.857…|| 7 || 2 || 3.500 ||
| |
| |-
| |
| | || || || 48\65|| || || 886.153… || 313.846…
| |
| |1107.692…
| |
| |392.307…|| 11 || 3 || 3.667 ||
| |
| |-
| |
| | || 17\23|| || || || || 886.956… || 313.043…
| |
| |1108.695…
| |
| |391.304…|| 4 || 1 || 4.000 ||
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |54\73
| |
| |
| |
| |887.671…
| |
| |312.328…
| |
| |1109.589…
| |
| |390.410…
| |
| |13
| |
| |3
| |
| |4.333
| |
| |
| |
| |-
| |
| | || || || 37\50|| || || 888.000 || 312.000
| |
| |1110
| |
| |390|| 9 || 2 || 4.500 || Oolong
| |
| |- | |
| |
| |
| |
| |
| |
| |
| |
| |
| |57\77
| |
| |
| |
| |888.311…
| |
| |311.888…
| |
| |1110.389…
| |
| |389.610…
| |
| |14
| |
| |3
| |
| |4.667
| |
| |
| |
| |-
| |
| | || || 20\27|| || || || 888.{{overline|8}}|| 311.{{overline|1}}
| |
| |1111.{{overline|1}} | |
| |388.{{overline|8}}|| 5 || 1 || 5.000 || Starlingtet
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |43\58
| |
| |
| |
| |889.655…
| |
| |310.344… | |
| |1112.068… | |
| |387.931… | |
| |11
| |
| |2
| |
| |5.500
| |
| |
| |
| |-
| |
| | || || || 23\31|| || || 890.322… || 309.677…
| |
| |1112.903…
| |
| |387.096…|| 6 || 1 || 6.000 || Myna
| |
| |-
| |
| | 3\4 || || || || || || 900.000 || 300.000
| |
| |1125
| |
| |375|| 1 || 0 || → inf ||
| |
| |}
| |
|
| |
|
| [[Category:Scales]]
| |
| [[Category:Abstract MOS patterns]]
| |
| [[Category:11-tone scales]] | | [[Category:11-tone scales]] |
| [[Category:Kleistonic]] <!-- main article --> | | [[Category:Kleistonic]] <!-- main article --> |