User:BudjarnLambeth/1ed237.8c: Difference between revisions
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{{Infobox ET|1ed187/163}} | {{Infobox ET|1ed187/163}} | ||
'''1 equal division of 237.8¢''' ('''1ed237.8c'''), also known as '''arithmetic pitch sequence of 237.8¢''' ('''APS237.8¢'''), is an [[Equal|equal]] [[ | '''1 equal division of 237.8¢''' ('''1ed237.8c'''), also known as '''arithmetic pitch sequence of 237.8¢''' ('''APS237.8¢'''), is an [[Equal-step tuning|equal]] and [[nonoctave]] scale generated by making a continuous chain of intervals of exactly 237.8¢. | ||
It is almost exactly [[8edt]], but retuned to have a slightly more acceptable pseudo-[[octave]]. It could be seen as a compromise between 8edt and [[5edo]], though leaning heavily towards 8edt. | |||
It can also be thought of as '''1ed187/163''' as [[187/163]] equals 237.800 cents. | |||
==Methodology== | |||
[[Budjarn Lambeth]] arrived at this scale by looking at every possible 1ed23x.y¢ and 1ed24x.y¢ in [[Scale Workshop]], noodling in each of them, adjusting the [[generator]] up and down by 0.1-cent increments until he found the one that sounded most pleasing to his ear. | |||
==Harmonics== | ==Harmonics== | ||
| Line 40: | Line 49: | ||
| | 5 | | | 5 | ||
| | 1189.0 | | | 1189.0 | ||
| | | | | 2/1 | ||
|- | |- | ||
| | 6 | | | 6 | ||
| Line 55: | Line 64: | ||
|} | |} | ||
==Scala | ==Scala files == | ||
<pre> | <pre> | ||
! | ! 1ed237pt8oct.scl | ||
! | ! | ||
1 equal division of 237.8 | 1 equal division of 237.8, octave repeating | ||
5 | 5 | ||
! | ! | ||
| Line 68: | Line 77: | ||
1189.000000 | 1189.000000 | ||
</pre> | </pre> | ||
<pre> | |||
! 1ed237pt8tri.scl | |||
! | |||
1 equal division of 237.8, tritave repeating | |||
8 | |||
! | |||
237.800000 | |||
475.600000 | |||
713.400000 | |||
951.200000 | |||
1189.000000 | |||
1426.800000 | |||
1664.600000 | |||
1902.400000 | |||
</pre> | |||
== See also == | |||
* [[Gallery of arithmetic pitch sequences]] | |||
[[Category:5-tone scales]] | [[Category:5-tone scales]] | ||
[[Category:Tempered scales]] | [[Category:Tempered scales]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
[[Category:Pages with Scala files]] | [[Category:Pages with Scala files]] | ||