5L 2s: Difference between revisions
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{{MOS intro}} | {{MOS intro}} | ||
The familiar pattern of 5 whole steps and 2 half steps, commonly written as WWHWWWH for the major scale, takes on a generalized form of LLsLLLs, where the large and small steps—denoted as ''L''{{'}} | The familiar pattern of 5 whole steps and 2 half steps, commonly written as WWHWWWH for the major scale, takes on a generalized form of LLsLLLs, where the large and small steps—denoted as ''L''{{'s}} and ''s''{{`s}}—represent whole number step sizes, thus producing different [[edo]]s. These [[step ratio]]s affect the sizes of the diatonic scale's intervals and correspond to different tuning systems. | ||
Among the most well-known forms of this scale are the Pythagorean diatonic scale, and scales produced by meantone systems (including [[12edo]]). | Among the most well-known forms of this scale are the Pythagorean diatonic scale, and scales produced by meantone systems (including [[12edo]]). | ||
== Name == | == Name == | ||
{{TAMNAMS name}} | {{TAMNAMS name}} "Mosdiatonic" may also be used for the sake of specificity. | ||
== Notation == | == Notation == | ||
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== Scale characteristics == | == Scale characteristics == | ||
{{TAMNAMS use}} | {{TAMNAMS use}} | ||
=== Intervals === | === Intervals === | ||
{{MOS intervals}} | {{MOS intervals}} | ||
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** [[Flattone]], with generators around 693.7{{c}}. | ** [[Flattone]], with generators around 693.7{{c}}. | ||
* [[Schismic]], with generators around 702{{c}}. | * [[Schismic]], with generators around 702{{c}}. | ||
* [[ | * [[Leapfrog]], with generators around 704.7{{c}}. | ||
* [[Archy]], with generators around 709.3{{c}}. This includes: | * [[Archy]], with generators around 709.3{{c}}. This includes: | ||
** Supra, with generators around 707.2{{c}} | ** Supra, with generators around 707.2{{c}} | ||
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=== Interval categories === | === Interval categories === | ||
''See [[5L 2s/Interval categories]]''. | ''See [[5L 2s/Interval categories]]''. | ||
== Tuning ranges == | == Tuning ranges == | ||
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=== Ultrasoft tunings === | === Ultrasoft tunings === | ||
{{See also| Superflat }} | |||
In this range, the major third is so flat that it can best be approximated by [[16/13]], tempering out [[1053/1024]]. | |||
{{MOS tunings|Step Ratios=Ultrasoft|JI Ratios=NONE}} | {{MOS tunings|Step Ratios=Ultrasoft|JI Ratios=NONE}} | ||
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=== MODMOS scales and muddles === | === MODMOS scales and muddles === | ||
{{Main|5L 2s/MODMOSes|5L 2s/Muddles}} | {{Main|5L 2s/MODMOSes|5L 2s/Muddles}} | ||
=== Scala files === | === Scala files === | ||
* [[Meantone7]] | * [[Meantone7]] – 19edo and 31edo tunings | ||
* [[Nestoria7]] | * [[Nestoria7]] – 171edo tuning | ||
* [[Pythagorean7]] | * [[Pythagorean7]] – Pythagorean tuning | ||
* [[Garibaldi7]] | * [[Garibaldi7]] – 94edo tuning | ||
* [[Cotoneum7]] | * [[Cotoneum7]] – 217edo tuning | ||
* [[Edson7]] | * [[Edson7]] – 29edo tuning | ||
* [[Pepperoni7]] | * [[Pepperoni7]] – 271edo tuning | ||
* [[Supra7]] | * [[Supra7]] – 56edo tuning | ||
* [[Archy7]] | * [[Archy7]] – 49edo tuning | ||
== Scale tree == | == Scale tree == | ||
{{MOS tuning spectrum | {{MOS tuning spectrum | ||
| Depth = 6 | | Depth = 6 | ||
| 7/5 = [[Flattone]] | | 7/5 = [[Flattone]] region | ||
| 21/13 = [[Golden meantone]] (696.214{{c}}) | | 21/13 = [[Golden meantone]] (696.214{{c}}) | ||
| 5/3 = [[Meantone]] | | 5/3 = [[Meantone]] region | ||
| 9/4 = [[Pythagorean tuning]] (701.955{{c}}) | | 9/4 = [[Pythagorean tuning]] (701.955{{c}}) | ||
| 16/7 = [[Garibaldi]] / [[cassandra]] | | 16/7 = [[Garibaldi]] / [[cassandra]] | ||
| 5/2 = [[Dominant (temperament)|Dominant]] | | 5/2 = [[Dominant (temperament)|Dominant]] region | ||
| 21/8 = Golden neogothic (704.096{{c}}) | | 21/8 = Golden neogothic (704.096{{c}}) | ||
| 8/3 = [[Neogothic]] | | 8/3 = [[Neogothic]] region | ||
| | | 7/2 = [[Quasisuper]] region | ||
| | | 9/2 = [[Superpyth]] region | ||
| 11/2 = [[Quasiultra]] region | |||
| 7/1 = [[Ultrapyth]] region | |||
}} | |||
=== Step ratio diagram === | === Step ratio diagram === | ||