3L 4s: Difference between revisions
→Tuning ranges: add temperaments associated with each range |
|||
| Line 41: | Line 41: | ||
* [[24edo]] can be used to make large and small steps more distinct (the step ratio is 4/3), or for its nearly pure 3/2. | * [[24edo]] can be used to make large and small steps more distinct (the step ratio is 4/3), or for its nearly pure 3/2. | ||
* [[38edo]] can be used to tune the diminished and perfect mosthirds near [[6/5]] and [[11/9]], respectively. | * [[38edo]] can be used to tune the diminished and perfect mosthirds near [[6/5]] and [[11/9]], respectively. | ||
These identifications are associated with [[mohajira]] temperament. | |||
The sizes of the generator, large step and small step of mosh are as follows in various ultrasoft mosh tunings. | The sizes of the generator, large step and small step of mosh are as follows in various ultrasoft mosh tunings. | ||
| Line 80: | Line 82: | ||
The large step is a sharper major second in these tunings than in ultrasoft tunings. These tunings could be considered "parapyth mosh" or "archy mosh", in analogy to ultrasoft mosh being meantone mosh. | The large step is a sharper major second in these tunings than in ultrasoft tunings. These tunings could be considered "parapyth mosh" or "archy mosh", in analogy to ultrasoft mosh being meantone mosh. | ||
These identifications are associated with [[beatles]] and [[suhajira]] temperaments. | |||
{| class="wikitable right-2 right-3 right-4 right-5" | {| class="wikitable right-2 right-3 right-4 right-5" | ||
|- | |- | ||
| Line 114: | Line 117: | ||
The symmetric mode sLsLsLs becomes a distorted double harmonic major in these tunings. | The symmetric mode sLsLsLs becomes a distorted double harmonic major in these tunings. | ||
This range is associated with [[sephiroth]] temperament. | |||
{| class="wikitable right-2 right-3 right-4 right-5" | {| class="wikitable right-2 right-3 right-4 right-5" | ||
|- | |- | ||
| Line 141: | Line 145: | ||
Ultra tunings of mosh have a step ratio greater than 4/1, implying a generator sharper than 5\16 = 375¢. The generator is thus near a [[5/4]] major third, five of which add up to an approximate [[3/1]]. The 7-note MOS only has two perfect fifths, so extending the chain to bigger MOSes, such as the [[3L 7s]] 10-note MOS, is suggested for getting 5-limit harmony. | Ultra tunings of mosh have a step ratio greater than 4/1, implying a generator sharper than 5\16 = 375¢. The generator is thus near a [[5/4]] major third, five of which add up to an approximate [[3/1]]. The 7-note MOS only has two perfect fifths, so extending the chain to bigger MOSes, such as the [[3L 7s]] 10-note MOS, is suggested for getting 5-limit harmony. | ||
This range is associated with [[magic]] temperament. | |||
{| class="wikitable right-2 right-3 right-4 right-5 right-6" | {| class="wikitable right-2 right-3 right-4 right-5 right-6" | ||
|- | |- | ||