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4L 7s: Difference between revisions

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=== Intervals ===
=== Intervals ===
{{MOS intervals}}
{{MOS intervals}}
=== Generator chain ===
{{MOS genchain}}


=== Modes ===
=== Modes ===
{{MOS mode degrees}}
{{MOS mode degrees}}
=== Genchain ===
 
{| class="wikitable center-all"
=== Proposed Mode Names ===
|-
[[User:KingHyperio|Alex Racz]] [https://www.31edo.com/scales proposed] the following mode names for the 11 generally recognized species of Acridotheres or [[Myna]].
! Generators
{{MOS modes|Scale Signature=4L 7s|Mode Names=Cinerian $
| -11 || -10 || -9 || -8 || -7 || -6 || -5 || -4 || -3 || -2 || -1 || 0 || +1 || +2 || +3 || +4 || +5 || +6 || +7 || +8 || +9 || +10 || +11
Burmannican $
|-
Ginginianan $
! Interval quality
Melanopteran $
| d11md || d8md || m5md || m2md || m10md || m7md || m4md || m1md || m9md || m6md || P3md || P0md || P8md || M5md || M2md || M10md || M7md || M4md || M1md || M9md || M6md || A3md || A0md
Fuscian $
|}
Javanican $
Tristian $
Leucocephalan $
Albocinctan $
Cristatellan $
Grandian $}}


== Tuning ranges==
== Tuning ranges==
=== Soft range ===
=== Soft range ===
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 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}}}}.


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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=== Hypohard ===
=== Hypohard ===
Hypohard tunings of 4L 7s 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 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}}}}.


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 edos include [[15edo]], [[19edo]], and [[34edo]].
Hypohard edos include [[15edo]], [[19edo]], and [[34edo]].
The sizes of the generator, large step and small step of 4L 7s are as follows in various hypohard 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"
|-
|-
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| 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
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| 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
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| 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
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| 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
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| 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
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| 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
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* [[Myna11]]
* [[Myna11]]


==Scale tree==
== Scale tree ==
{{Scale tree|Comments=6/5: Oregon;
{{MOS tuning spectrum
10/7: Orgone;
| 6/5 = [[Oregon]]
11/7: Magicaltet;
| 10/7 = [[Orgone]]
13/8: Golden superklesimic;
| 11/7 = [[Magicaltet]]
5/3: Superkleismic;
| 13/8 = Golden superklesimic
7/3: Catalan;
| 5/3 = [[Superkleismic]]
13/5: Countercata;
| 7/3 = [[Catalan]]
8/3: Hanson/cata;
| 13/5 = [[Countercata]]
10/3: Parakleismic;
| 8/3 = [[Hanson]]/[[cata]]
9/2: Oolong;
| 11/4 = [[Catakleismic]]
5/1: Starlingtet;
| 10/3 = [[Parakleismic]]
6/1: Myna}}
| 9/2 = [[Oolong]]
| 5/1 = [[Starlingtet]]
| 6/1 = [[Myna]]
}}
 
== Gallery ==
[[File:19EDO_Kleistonic_cheat_sheet.png|825x825px|thumb|Cheat sheet for 19EDO, a hard tuning for 4L 7s (or kleistonic).|alt=|left]]
 
[[Category:11-tone scales]]
[[Category:11-tone scales]]
[[Category:Kleistonic]] <!-- main article -->
[[Category:Kleistonic]] <!-- main article -->
== Gallery ==
[[File:19EDO_Kleistonic_cheat_sheet.png|825x825px|thumb|Cheat sheet for 19EDO, a hard tuning for 4L 7s (or kleistonic).|alt=|left]]
Retrieved from "https://en.xen.wiki/w/4L_7s"