Zeus: Difference between revisions

Revision as of 03:43, 8 September 2023

Zeus is the rank-3 temperament tempering out 121/120 and 176/175.

This spectrum assumes pure 2 and 7/5.

Gencom: [2 3 11/10; 121/120 176/175 351/350]

Gencom mapping: [⟨1 0 1 4 2 7], ⟨0 1 1 -1 1 -2], ⟨0 0 -2 3 -1 -1]]

Eigenmonzo (Unchanged-interval)	Fifth (¢)	Major Third (¢)	Comments
12/11	685.337	384.062
15/11	689.089	384.813
5/4	696.593	386.314
11/9	697.207	386.436
14/13	700.880	387.171
16/15	701.061	387.207
15/13	701.179	387.231
16/13	701.237	387.243
13/12	701.449	387.285
18/13	701.564	387.308
4/3	701.955	387.386	7-, 9- and 15-odd-limit minimax
10/9	702.551	387.505	11- and 13-odd-limit minimax
6/5	703.296	387.654
13/11	703.597	387.714
11/8	713.034	389.602
11/10	721.254	391.246

@@ Line 1: / Line 1: @@
-See [[Porwell family #Zeus]] for technical data.
+'''Zeus''' is the [[rank-3 temperament]] tempering out [[121/120]] and [[176/175]].
+See [[Porwell family #Zeus]] or [[Biyatismic clan #Zeus]] for technical data.
+== Scales ==
+* [[Zeus1]]
+* [[Zeus2]]
+* [[Zeus3]]
+* [[Zeus4]]
+* [[Zeus5]]
+* [[Zeus6]]
+* [[Zeus7]]
+* [[Zeus7tri]]
+* [[Zeus8tri]]
+* [[Genus1155zeus]]
 == Tuning spectrum ==
@@ Line 7: / Line 21: @@
 Gencom: [2 3 11/10; 121/120 176/175 351/350]
-Gencom Mapping: [{{map|1 0 1 4 2 7}}, {{map|0 1 1 -1 1 -2}}, {{map|0 0 -2 3 -1 -1}}]
+Gencom mapping: {{mapping| 1 0 1 4 2 7 | 0 1 1 -1 1 -2 | 0 0 -2 3 -1 -1 }}
 {| class="wikitable center-all"
 |-
-! [[eigenmonzo|eigenmonzo<br>(unchanged-interval]])
+! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval]])
-! fifth<br>(¢)
+! Fifth<br>(¢)
-! major<br>third (¢)
+! Major<br>Third (¢)
-! comments
+! Comments
 |-
 | 12/11
@@ Line 102: / Line 116: @@
 [[Category:Biyatismic clan]]
 [[Category:Valinorsmic clan]]
-{{Todo| intro }}