The Jacobins: Difference between revisions

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=== Pure onzonic ===

Pure onzonic is the temperament that was initially defined as "jacobin" before ~~pointing~~ out that the name "jacobin temperament" would refer to a rank-5 temperamnet tempering out 6656/6655. Since jacobin comma is the difference between a stack of three 11/8s and 13/10, it was natural to choose 11/8 as the generator for the rank 2 "jacobin temperament". Name "pure onzonic" is thus reserved for the pure 2.5.11.13 subgroup.

Pure onzonic is the temperament that was initially defined as "jacobin" before [[Flora Canou]] pointed out that the name "jacobin temperament" would refer to a rank-5 temperamnet tempering out 6656/6655. Since jacobin comma is the difference between a stack of three 11/8s and 13/10, it was natural to choose 11/8 as the generator for the rank 2 "jacobin temperament". Name "pure onzonic" is thus reserved for the pure 2.5.11.13 subgroup.

Subgroup: 2.5.11.13

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Vals: {{EDOs|229, 1789}}, ...

== Double Bastille ==

Defined as the 1789 & 2814 temperament, and named because 2814 divided in two is 1407, and Bastille storming happened on 14 July 1789. Unfortunately 1407 & 1789 temperament does not temper out the jacobin comma (at least in the patent val), so it's not possible to include it here.

Subgroup: 2.5.7.11.13

Comma list: 6656/6655, {{monzo|43 -18 0 5 -5}}, {{monzo|6 -30 -3 8 12}}

Mapping: [{{Val|1 26 -938 -51 -136}}, {{Val|0 -30 1192 69 177}}]

Optimal tuning (CTE): ~91750400/53094899 = 947.121

Vals: 1789, 2814, ...

[[Category:Commatic realms]]

[[Category:Jacobin]]

@@ Line 9: / Line 9: @@
 === Pure onzonic ===
-Pure onzonic is the temperament that was initially defined as "jacobin" before pointing out that the name "jacobin temperament" would refer to a rank-5 temperamnet tempering out 6656/6655. Since jacobin comma is the difference between a stack of three 11/8s and 13/10, it was natural to choose 11/8 as the generator for the rank 2 "jacobin temperament". Name "pure onzonic" is thus reserved for the pure 2.5.11.13 subgroup.
+Pure onzonic is the temperament that was initially defined as "jacobin" before [[Flora Canou]] pointed out that the name "jacobin temperament" would refer to a rank-5 temperamnet tempering out 6656/6655. Since jacobin comma is the difference between a stack of three 11/8s and 13/10, it was natural to choose 11/8 as the generator for the rank 2 "jacobin temperament". Name "pure onzonic" is thus reserved for the pure 2.5.11.13 subgroup.
 Subgroup: 2.5.11.13
@@ Line 73: / Line 73: @@
 Vals: {{EDOs|229, 1789}}, ...
+== Double Bastille ==
+Defined as the 1789 & 2814 temperament, and named because 2814 divided in two is 1407, and Bastille storming happened on 14 July 1789. Unfortunately 1407 & 1789 temperament does not temper out the jacobin comma (at least in the patent val), so it's not possible to include it here.
+Subgroup: 2.5.7.11.13
+Comma list: 6656/6655, {{monzo|43 -18  0  5 -5}}, {{monzo|6 -30 -3  8 12}}
+Mapping: [{{Val|1 26 -938 -51 -136}}, {{Val|0 -30 1192 69 177}}]
+Optimal tuning (CTE): ~91750400/53094899 = 947.121
+Vals: 1789, 2814, ...
 [[Category:Commatic realms]]
 [[Category:Jacobin]]