988edo: Difference between revisions

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988edo provides excellent tuning for the 2, 3, 5, 11, 13, 19, 37, 43, 47, 53, and 59th harmonics, making a strong higher-limit system. It is double the famous [[494edo]], and with the same mapping for the 17-limit. If considered in the 19-limit, it is basically a spicy 494edo with the 19th harmonic. The comma basis for such regular temperament is 1445/1444, 1716/1715, 2601/2600, 3025/3024, 4225/4224, 10830/10829, 297440/297381.

~~Eliora proposes that one step of 988edo~~ be ~~named '''semisqub'''~~, ~~given the strong relation to 494edo and the fact that 1 step of 494edo is called a squb~~.

An alternate mapping for 17 would be the 988g val. In it, it tempers out 2025/2023, 13013/13005, 15625/15606, 31213/31212.

~~To break~~ the ~~contorsion, 988d val can be used~~.

One step of 988edo is named '''semisqub''', given the strong relation to 494edo and the fact that 1 step of 494edo is called a squb.

In the 2.5.11.13.19.41.47 it supports a 988 & [[2016edo|2016]] temperament.

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[[Category:Equal divisions of the octave|###]]

[[Category:Equal divisions of the octave|###]]

== Regular temperament properties ==

=== Rank-2 temperaments ===

{| class="wikitable center-all left-5"

!Periods

per octave

!Generator

(reduced)

!Cents

(reduced)

!Associated

ratio

!Temperaments

|-

|52

|325\988

(2\988)

|394.736

(2.429)

|134560000/107132311

(?)

|[[French deck]]

|}

@@ Line 5: / Line 5: @@
 edo provides excellent tuning for the 2, 3, 5, 11, 13, 19, 37, 43, 47, 53, and 59th harmonics, making a strong higher-limit system. It is double the famous [[494edo]], and with the same mapping for the 17-limit. If considered in the 19-limit, it is basically a spicy 494edo with the 19th harmonic. The comma basis for such regular temperament is 1445/1444, 1716/1715, 2601/2600, 3025/3024, 4225/4224, 10830/10829, 297440/297381.
-Eliora proposes that one step of 988edo be named '''semisqub''', given the strong relation to 494edo and the fact that 1 step of 494edo is called a squb.
+An alternate mapping for 17 would be the 988g val. In it, it tempers out 2025/2023, 13013/13005, 15625/15606, 31213/31212.
-To break the contorsion, 988d val can be used.
+One step of 988edo is named '''semisqub''', given the strong relation to 494edo and the fact that 1 step of 494edo is called a squb.
 In the 2.5.11.13.19.41.47 it supports a 988 & [[2016edo|2016]] temperament.<!-- why is it notable? -->
@@ Line 16: / Line 16: @@
 {{Harmonics in equal|988}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+[[Category:Equal divisions of the octave|###]]
+== Regular temperament properties ==
+=== Rank-2 temperaments ===
+{| class="wikitable center-all left-5"
+!Periods
+per octave
+!Generator
+(reduced)
+!Cents
+(reduced)
+!Associated
+ratio
+!Temperaments
+|-
+|52
+|325\988
+(2\988)
+|394.736
+(2.429)
+|134560000/107132311
+(?)
+|[[French deck]]
+|}<!-- 3-digit number -->