TromboneBoi9
Joined 2 May 2023
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=== Cloudy scales === | === Cloudy scales === | ||
I don't know about you, but I love the seventh harmonic. | I don't know about you, but I love the seventh harmonic. These scales are named after the [[cloudy comma]]. | ||
{| class="wikitable" | |||
'''''Cumulus Alpha''''' is a 5L6s [[MOS]] with [[7/4]] as the generator and [[2/1]] as the period. | |||
{| class="wikitable mw-collapsible" | |||
!Steps | !Steps | ||
!Ratio | !Ratio | ||
!Cents | |||
|- | |- | ||
|0 | |0 | ||
|1/1 | |1/1 | ||
|0.000 | |||
|- | |- | ||
|1 | |1 | ||
|16807/16384 | |16807/16384 | ||
|43.130 | |||
|- | |- | ||
|2 | |2 | ||
|8/7 | |8/7 | ||
|231.174 | |||
|- | |- | ||
|3 | |3 | ||
|2401/2048 | |2401/2048 | ||
|275.304 | |||
|- | |- | ||
|4 | |4 | ||
|64/49 | |64/49 | ||
|462.348 | |||
|- | |- | ||
|5 | |5 | ||
|343/256 | |343/256 | ||
|506.478 | |||
|- | |- | ||
|6 | |6 | ||
|512/343 | |512/343 | ||
|693.522 | |||
|- | |- | ||
|7 | |7 | ||
|49/32 | |49/32 | ||
|737.652 | |||
|- | |- | ||
|8 | |8 | ||
|4096/2401 | |4096/2401 | ||
|924.696 | |||
|- | |- | ||
|9 | |9 | ||
|7/4 | |7/4 | ||
|968.826 | |||
|- | |- | ||
|10 | |10 | ||
|32768/16807 | |32768/16807 | ||
|1155.870 | |||
|- | |- | ||
|11 | |11 | ||
|2/1 | |2/1 | ||
|1200.000 | |||
|} | |||
'''''Cumulus Beta''''' is an 4L5s MOS with [[7/6]] as the generator and [[2/1]] as the period. Amazingly, it approximates all intervals of [[9edo|9-EDO]] within a cent! | |||
{| class="wikitable mw-collapsible" | |||
!Steps | |||
!Ratio | |||
!Cents | |||
!9-EDO Difference | |||
|- | |||
|0 | |||
|1/1 | |||
|0.000 | |||
|0.000 | |||
|- | |||
|1 | |||
|2592/2401 | |||
|132.516 | |||
| -0.817 | |||
|- | |||
|2 | |||
|7/6 | |||
|266.871 | |||
|0.204 | |||
|- | |||
|3 | |||
|432/343 | |||
|399.387 | |||
| -0.613 | |||
|- | |||
|4 | |||
|49/36 | |||
|533.742 | |||
|0.409 | |||
|- | |||
|5 | |||
|72/49 | |||
|666.258 | |||
| -0.409 | |||
|- | |||
|6 | |||
|343/216 | |||
|800.613 | |||
|0.613 | |||
|- | |||
|7 | |||
|12/7 | |||
|933.129 | |||
| -0.204 | |||
|- | |||
|8 | |||
|2401/1296 | |||
|1067.484 | |||
|0.817 | |||
|- | |||
|9 | |||
|7/4 | |||
|1200.000 | |||
|0.000 | |||
|} | |||
'''''Cumulus Gamma''''' is an 3L5s MOS with [[9/7]] as the generator and [[2/1]] as the period. It appears to partially approximate [[11edo|11-EDO]]. | |||
{| class="wikitable mw-collapsible" | |||
!Steps | |||
!Ratio | |||
!Cents | |||
!Approx. 11-EDO Degree | |||
|- | |||
|0 | |||
|1/1 | |||
|0.000 | |||
|0 | |||
|- | |||
|1 | |||
|729/686 | |||
|105.252 | |||
|1 | |||
|- | |||
|2 | |||
|98/81 | |||
|329.832 | |||
|3 | |||
|- | |||
|3 | |||
|9/7 | |||
|435.084 | |||
|4 | |||
|- | |||
|4 | |||
|6561/4802 | |||
|540.336 | |||
|5 | |||
|- | |||
|5 | |||
|14/9 | |||
|764.916 | |||
|7 | |||
|- | |||
|6 | |||
|81/49 | |||
|870.168 | |||
|8 | |||
|- | |||
|7 | |||
|1372/729 | |||
|1094.748 | |||
|10 | |||
|- | |||
|8 | |||
|2/1 | |||
|1200.000 | |||
|11 | |||
|} | |} | ||