User:Ganaram inukshuk/4L 3s: Difference between revisions
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== Scale characteristics == | == Scale characteristics == | ||
''This article assumes TAMNAMS conventions for | ''This article assumes TAMNAMS naming conventions for the following: step ratios, intervals, scale degrees, modes, step patterns. For more information, see the respective links.'' | ||
===Name === | ===Name === | ||
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== Tuning ranges == | == Tuning ranges == | ||
===Simple tunings=== | ===Simple tunings=== | ||
The basic tuning for 4L 3s has a large and small step size of 2 and 1 respectively, which is supported by 11edo. Other small edos include [[15edo]] and [[18edo]]. | The basic tuning for 4L 3s has a large and small step size of 2 and 1 respectively, which is supported by 11edo. Other small edos include [[15edo]] and [[18edo]]. | ||
===Parasoft tunings=== | ===Parasoft tunings=== | ||
Parasoft smitonic tunings (4:3 to 3:2) can be considered "meantone smitonic" since it has the following features of [[meantone]] diatonic tunings: | Parasoft smitonic tunings (4:3 to 3:2) can be considered "meantone smitonic" since it has the following features of [[meantone]] diatonic tunings: | ||
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* The augmented 2-mosstep of 25edo is very close to 5/4 (386¢). | * The augmented 2-mosstep of 25edo is very close to 5/4 (386¢). | ||
*The various interval flavors separated by a chroma shows that parasoft smitonic is a useful [[cluster MOS]]. However, many of these intervals lack simple JI interpretations. | *The various interval flavors separated by a chroma shows that parasoft smitonic is a useful [[cluster MOS]]. However, many of these intervals lack simple JI interpretations. | ||
===Hyposoft tunings=== | ===Hyposoft tunings=== | ||
Hyposoft smitonic tunings (3:2 to 2:1) are characterized by generators that are a supraminor 3rd, between 327¢ and 333¢. By analogy of parasoft tunings being called "meantone smitonic", these tunings can be considered "[[Gentle region|neogothic]] smitonic" or "[[archy]] smitonic". | Hyposoft smitonic tunings (3:2 to 2:1) are characterized by generators that are a supraminor 3rd, between 327¢ and 333¢. By analogy of parasoft tunings being called "meantone smitonic", these tunings can be considered "[[Gentle region|neogothic]] smitonic" or "[[archy]] smitonic". | ||
Edos include [[11edo]] (not shown), [[18edo]], and [[29edo]]. | Edos include [[11edo]] (not shown), [[18edo]], and [[29edo]]. | ||
===Hypohard tunings=== | ===Hypohard tunings=== | ||
Hypohard smitonic tunings (2:1 to 3:1) have generators between 320¢ and 327¢. The major 1-mosstep, or large step, tends to approximate [[8/7]] (231¢) and the major 3-mosstep tends to approximate [[11/8]] (551¢). [[26edo]] approximates these two intervals very well. These JI approximations are associated with [[orgone]] temperament. | Hypohard smitonic tunings (2:1 to 3:1) have generators between 320¢ and 327¢. The major 1-mosstep, or large step, tends to approximate [[8/7]] (231¢) and the major 3-mosstep tends to approximate [[11/8]] (551¢). [[26edo]] approximates these two intervals very well. These JI approximations are associated with [[orgone]] temperament. | ||
Other hypohard edos include [[11edo]] (not shown), [[15edo]] and [[37edo]]. | Other hypohard edos include [[11edo]] (not shown), [[15edo]] and [[37edo]]. | ||
===Parahard tunings=== | ===Parahard tunings=== | ||
Parahard smitonic tunings (3:1 to 4:1) have generators between 315.9¢ and 320¢, putting it close to a pure 6/5 (316¢). Stacking six generators and octave-reducing approximates 3/2 (702¢), a diatonic perfect 5th, represented by the diminished 5-mosstep. | Parahard smitonic tunings (3:1 to 4:1) have generators between 315.9¢ and 320¢, putting it close to a pure 6/5 (316¢). Stacking six generators and octave-reducing approximates 3/2 (702¢), a diatonic perfect 5th, represented by the diminished 5-mosstep. | ||
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Parahard edos smaller than 53edo include [[15edo]] (not shown), [[19edo]], and [[34edo]]. | Parahard edos smaller than 53edo include [[15edo]] (not shown), [[19edo]], and [[34edo]]. | ||
== Scales == | == Scales == | ||
''Move to quickstart guide.'' | ''Move to quickstart guide.'' | ||
==Scale tree== | == Scale tree == | ||
{{Scale | {{MOS tuning spectrum | ||
5/4 | | Scale Signature = 4L 3s | ||
13/8 | | 6/5 = [[Amity]]/[[hitchcock]] ↑ | ||
12/5 | | 5/4 = [[Sixix]] | ||
5/2 [[Orgone]] | | 13/8 = Golden 4L 3s (868.3282{{c}}) | ||
13/5 | | 12/5 = [[Hyperkleismic]] | ||
8/3 | | 5/2 = [[Orgone]] | ||
11/3 | | 13/5 = Golden superkleismic | ||
6/1 | | 8/3 = [[Superkleismic]] | ||
==Music== | | 11/3 = [[Hanson]]/[[keemun]] | ||
*[[City of the Asleep]], [https://cityoftheasleep.bandcamp.com/album/an-amputated-elliptic-knob-of-the-cryptocurve-regenerates "An Amputated Elliptic Knob of the Cryptocurve Regenerates"] (Various orgone edos) | | 6/1 = [[Oolong]]/[[myna]] ↓ | ||
*[[User:Ks26|ks26]], [https://www.youtube.com/watch?v=AEnEYk3X1as Ghost Bridge] (11edo) | }} | ||
*[[User:Ayceman|Alexandru Ianu]], [https://youtu.be/81uZbsmbet8 Sylvian Moon Dance] (11edo) ([[:File:Sylvian_Moon_Dance.pdf|sheet music]]) | |||
*[[File:Sixix Fugue.mp3|256x256px]] A fugue in [[18edo]] smitonic functional harmony (WIP) | == Music == | ||
* [[City of the Asleep]], [https://cityoftheasleep.bandcamp.com/album/an-amputated-elliptic-knob-of-the-cryptocurve-regenerates "An Amputated Elliptic Knob of the Cryptocurve Regenerates"] (Various orgone edos) | |||
* [[User:Ks26|ks26]], [https://www.youtube.com/watch?v=AEnEYk3X1as Ghost Bridge] (11edo) | |||
* [[User:Ayceman|Alexandru Ianu]], [https://youtu.be/81uZbsmbet8 Sylvian Moon Dance] (11edo) ([[:File:Sylvian_Moon_Dance.pdf|sheet music]]) | |||
* [[File:Sixix Fugue.mp3|256x256px]] A fugue in [[18edo]] smitonic functional harmony (WIP) | |||
==References== | == References == | ||
<references /> | <references /> | ||