Ed5/4: Difference between revisions
Created page with "'''Ed5/4''' means '''Division of the Just Major Third (5/4) into n equal parts'''. =Division of the just major third (5/4) into n equal parts= Division of the 5:4 into e..." Tags: Mobile edit Mobile web edit |
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''' | The '''equal division of 5/4''' ('''ed5/4''') is a [[tuning]] obtained by dividing the [[5/4|just major third (5/4)]] in a certain number of [[equal]] steps. | ||
=Division of | == Properties == | ||
Division of 5/4 into equal parts does not necessarily imply directly using this interval as an [[equivalence]]. Many, though not all, ed5/4 scales have a perceptually important [[Pseudo-octave|false octave]], with various degrees of accuracy. | |||
ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: [[17ed5/4]] (0.61 cent error), [[19ed5/4]] (0.59 cent error), and [[36ed5/4]] (0.02 cent error). | |||
[[17ed5/4]], [[19ed5/4]] and [[36ed5/4]] are to the division of the major third what [[13ed4/3]], [[15ed4/3]], and [[28ed4/3]] are to the division of the fourth, what [[9edf|9ed3/2]], [[11edf|11ed3/2,]] and [[20edf|20ed3/2]] are to the division of the fifth, and what [[5edo]], [[7edo]], and [[12edo]] are to the division of the octave. | |||
== Individual pages for ed5/4's == | |||
{| class="wikitable center-all" | |||
|+ style=white-space:nowrap | 0…49 | |||
| [[0ed5/4|0]] | |||
| [[1ed5/4|1]] | |||
| [[2ed5/4|2]] | |||
| [[3ed5/4|3]] | |||
| [[4ed5/4|4]] | |||
| [[5ed5/4|5]] | |||
| [[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:Ed5/4's| ]] | |||
<!-- main article --> | |||
[[Category:Major third]] | [[Category:Major third]] | ||
[[Category: | [[Category:Lists of scales]] | ||
{{todo|inline=1|explain edonoi|text=Most people do not think 5/4 sounds like an equivalence, so there must be some other reason why people are dividing it — some property ''other than'' equivalence that makes people want to divide it. Please add to this page an explanation of what that reason is.}} | |||
Latest revision as of 19:39, 1 August 2025
The equal division of 5/4 (ed5/4) is a tuning obtained by dividing the just major third (5/4) in a certain number of equal steps.
Properties
Division of 5/4 into equal parts does not necessarily imply directly using this interval as an equivalence. Many, though not all, ed5/4 scales have a perceptually important false octave, with various degrees of accuracy.
ED5/4 tuning systems that accurately represent the intervals 10/9 and 9/8 include: 17ed5/4 (0.61 cent error), 19ed5/4 (0.59 cent error), and 36ed5/4 (0.02 cent error).
17ed5/4, 19ed5/4 and 36ed5/4 are to the division of the major third what 13ed4/3, 15ed4/3, and 28ed4/3 are to the division of the fourth, what 9ed3/2, 11ed3/2, and 20ed3/2 are to the division of the fifth, and what 5edo, 7edo, and 12edo are to the division of the octave.
Individual pages for ed5/4's
| 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 |
|
Todo: explain edonoi Most people do not think 5/4 sounds like an equivalence, so there must be some other reason why people are dividing it — some property other than equivalence that makes people want to divide it. Please add to this page an explanation of what that reason is. |