4edf: Difference between revisions
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'''4edf''' (short for '''4-part equal division of the fifth''') divides the [[Perfect fifth]] ([[3/2]]) into 4 [[equal]] intervals, each 175.489 [[cent]]s in size. | |||
This division is said to be used in traditional scales of [[Georgian|Georgia]]. | |||
See the [https://groups.yahoo.com/neo/groups/tuning/conversations/messages/100326 discussion on the Yahoo tuning list]. | |||
== Intervals == | |||
==Intervals== | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! degree | ||
! | ! cents value | ||
! | ! octave-reduced cents value | ||
|- | |- | ||
| 0 | |||
| 0 | |||
| | |||
|- | |- | ||
| 1 | |||
| 175.489 | |||
| | |||
|- | |- | ||
| 2 | |||
| 350.978 | |||
| | |||
|- | |- | ||
| 3 | |||
| 526.466 | |||
| | |||
|- | |- | ||
| 4 | |||
| 701.955 | |||
| | |||
|- | |- | ||
| 5 | |||
| 877.444 | |||
| | |||
|- | |- | ||
| 6 | |||
| 1052.933 | |||
| | |||
|- | |- | ||
! | second octave | ! colspan="3" | second octave | ||
|- | |- | ||
| 7 | |||
| 1228.421 | |||
| 28.421 | |||
|- | |- | ||
| 8 | |||
| 1403.910 | |||
| 203.910 | |||
|- | |- | ||
| 9 | |||
| 1579.399 | |||
| 379.399 | |||
|- | |- | ||
| 10 | |||
| 1754.888 | |||
| 554.888 | |||
|- | |- | ||
| 11 | |||
| 1930.376 | |||
| 730.376 | |||
|- | |- | ||
| 12 | |||
| 2105.865 | |||
| 905.865 | |||
|- | |- | ||
| 13 | |||
| 2281.354 | |||
| 1081.354 | |||
|- | |- | ||
! | third octave | ! colspan="3" | third octave | ||
|- | |- | ||
| 14 | |||
| 2456.843 | |||
| 56.843 | |||
|} | |} | ||
==Compositions== | == Compositions == | ||
[http://www.seraph.it/dep/det/repetitions1.mp3 Repetitions 1] [http://www.youtube.com/watch?v=XEklMo0tIW0 Repetitions 1 video] by [[ | * [http://www.seraph.it/dep/det/repetitions1.mp3 Repetitions 1] [http://www.youtube.com/watch?v=XEklMo0tIW0 Repetitions 1 video] by [[Carlo Serafini]] | ||
[[Category: | |||
[[Category: | [[Category:Edf]] | ||
[[Category: | [[Category:Listen]] | ||
[[Category:Nonoctave]] | |||
Revision as of 14:02, 28 October 2018
4edf (short for 4-part equal division of the fifth) divides the Perfect fifth (3/2) into 4 equal intervals, each 175.489 cents in size.
This division is said to be used in traditional scales of Georgia. See the discussion on the Yahoo tuning list.
Intervals
| degree | cents value | octave-reduced cents value |
|---|---|---|
| 0 | 0 | |
| 1 | 175.489 | |
| 2 | 350.978 | |
| 3 | 526.466 | |
| 4 | 701.955 | |
| 5 | 877.444 | |
| 6 | 1052.933 | |
| second octave | ||
| 7 | 1228.421 | 28.421 |
| 8 | 1403.910 | 203.910 |
| 9 | 1579.399 | 379.399 |
| 10 | 1754.888 | 554.888 |
| 11 | 1930.376 | 730.376 |
| 12 | 2105.865 | 905.865 |
| 13 | 2281.354 | 1081.354 |
| third octave | ||
| 14 | 2456.843 | 56.843 |