Ed5/4: Difference between revisions

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== Individual pages for ED5/4s ==
== Individual pages for ED5/4s ==
* 2 - [[2ed5/4|Square Root of 5/4]]
{| class="wikitable center-all"
* 3 - [[3ed5/4|Cube Root of 5/4]]
|+ style=white-space:nowrap | 0…49
* 4 - [[4ed5/4|Fourth Root of 5/4]]
| [[0ed5/4|0]]
* 5 - [[5ed5/4|Fifth Root of 5/4]]
| [[1ed5/4|1]]
* 6 - [[6ed5/4|Sixth Root of 5/4]]
| [[2ed5/4|2]]
* 7 - [[7ed5/4|Seventh Root of 5/4]]
| [[3ed5/4|3]]
* 17 - [[17ed5/4|17th Root of 5/4]]
| [[4ed5/4|4]]
* 19 - [[19ed5/4|19th Root of 5/4]]
| [[5ed5/4|5]]
* 36 - [[36ed5/4|36th Root of 5/4]]
| [[6ed5/4|6]]
| [[7ed5/4|7]]
| [[8ed5/4|8]]
| [[9ed5/4|9]]
|-
| [[10ed5/4|10]]
| [[11ed5/4|11]]
| [[12ed5/4|12]]
| [[13ed5/4|13]]
| [[14ed5/4|14]]
| [[15ed5/4|15]]
| [[16ed5/4|16]]
| [[17ed5/4|17]]
| [[18ed5/4|18]]
| [[19ed5/4|19]]
|-
| [[20ed5/4|20]]
| [[21ed5/4|21]]
| [[22ed5/4|22]]
| [[23ed5/4|23]]
| [[24ed5/4|24]]
| [[25ed5/4|25]]
| [[26ed5/4|26]]
| [[27ed5/4|27]]
| [[28ed5/4|28]]
| [[29ed5/4|29]]
|-
| [[30ed5/4|30]]
| [[31ed5/4|31]]
| [[32ed5/4|32]]
| [[33ed5/4|33]]
| [[34ed5/4|34]]
| [[35ed5/4|35]]
| [[36ed5/4|36]]
| [[37ed5/4|37]]
| [[38ed5/4|38]]
| [[39ed5/4|39]]
|-
| [[40ed5/4|40]]
| [[41ed5/4|41]]
| [[42ed5/4|42]]
| [[43ed5/4|43]]
| [[44ed5/4|44]]
| [[45ed5/4|45]]
| [[46ed5/4|46]]
| [[47ed5/4|47]]
| [[48ed5/4|48]]
| [[49ed5/4|49]]
|}
 


[[Category:Major third]]
[[Category:Major third]]
[[Category:Equal-step tuning]]
[[Category:Equal-step tuning]]
[[Category:Lists of scales]]
[[Category:Lists of scales]]

Revision as of 19:44, 27 February 2024

Ed5/4 means Division of the Just Major Third (5/4) into n equal parts.

Division of the just major third into n equal parts

Division of the 5:4 into equal parts can be conceived of as to directly use this interval as an equivalence, or not. The question of equivalence is still in its infancy. The utility of 5:4 as a base though, is apparent by providing a novel consonance after 3, and being the basis for 5-limit harmony. Many, if not all, of these scales have a perceptually important pseudo (false) octave, with various degrees of accuracy.

5/4 is particularly narrow as far as equivalences go and it is difficult to fit consonant chords in it, so we might consider using 5/42 = 25/16 as the equivalence instead.

Individual pages for ED5/4s

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0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
40 41 42 43 44 45 46 47 48 49