Lifthrasirsma: Difference between revisions

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| Comma = yes

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The '''lifthrasirsma''' ({{monzo|legend=1| 29 -11 -2 0 -2 }}, [[ratio]]: 536870912/535869675) is an [[~~Unnoticeable~~ comma|unnoticeable]] [[11-limit]] (also 2.3.5.11 [[subgroup]]) [[comma]] measuring about 3.23 [[cent]]s. It marks the difference between the [[rastma]] and a stack of two [[schisma]]s.

The '''lifthrasirsma''' ({{monzo|legend=1| 29 -11 -2 0 -2 }}, [[ratio]]: 536870912/535869675) is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (also [[2.3.5.11 subgroup|2.3.5.11-]][[subgroup]]) [[comma]] measuring about 3.23 [[cent]]s. It marks the difference between the [[rastma]] and a stack of two [[schisma]]s.

== Temperaments ==

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Comma list: 536870912/535869675

~~Sval~~ mapping: {{mapping| 1 1 0 9 | 0 2 0 -11 | 0 0 1 -1 }}

Subgroup-val mapping: {{mapping| 1 1 0 9 | 0 2 0 -11 | 0 0 1 -1 }}

Optimal ~~tuning (CTE)~~: ~2 = ~~1\1~~, ~16384/13365 = 351.~~0971~~, ~5/4 = 386.~~4070~~

Optimal tunings:

* WE: ~2 = 1199.9228{{c}}, ~16384/13365 = 351.0529{{c}}, ~5/4 = 386.4968{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~16384/13365 = 351.0805{{c}}, ~5/4 = 386.4947{{c}}

~~Optimal ET sequence:~~ {{Optimal ET sequence| 17, 24, 41, 65, 205, 270, 335, 581, 605, 646, 916, 981, 2878e, 3859bcee }}

{{Optimal ET sequence|legend=0| 17, 24, 41, 65, 205, 270, 335, 581, 605, 646, 916, 981, 2878e, 3859bcee }}

Badness: 0.~~542 × 10<sup>-3</sup>~~

Badness (Sintel): 4.48

==== 2.3.5.11.19 subgroup ====

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Comma list: 1216/1215, 131072/131043

~~Sval~~ mapping: {{mapping| 1 1 0 9 -1 | 0 2 0 -11 10 | 0 0 1 -1 1 }}

Subgroup-val mapping: {{mapping| 1 1 0 9 -1 | 0 2 0 -11 10 | 0 0 1 -1 1 }}

Optimal ~~tuning (CTE)~~: ~2 = ~~1\1~~, ~256/209 = 351.~~1010~~, ~5/4 = 386.~~4125~~

Optimal tunings:

* WE: ~2 = 1199.9494{{c}}, ~256/209 = 351.0800{{c}}, ~5/4 = 386.4828{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~256/209 = 351.0960{{c}}, ~5/4 = 386.4831{{c}}

~~Optimal ET sequence:~~ {{Optimal ET sequence| 17, 24, 41, 65, 181, 205, 270, 581, 646, 851, 916, 1186, 2102 }}

{{Optimal ET sequence|legend=0| 17, 24, 41, 65, 181, 205, 270, 581, 646, 851, 916, 1186, 2102 }}

Badness: 0.~~260 × 10<sup>-3</sup>~~

Badness (Sintel): 0.581

== Etymology ==

@@ Line 6: / Line 6: @@
 | Comma = yes
 }}
-The '''lifthrasirsma''' ({{monzo|legend=1| 29 -11 -2 0 -2 }}, [[ratio]]: 536870912/535869675) is an [[Unnoticeable comma|unnoticeable]] [[11-limit]] (also 2.3.5.11 [[subgroup]]) [[comma]] measuring about 3.23 [[cent]]s. It marks the difference between the [[rastma]] and a stack of two [[schisma]]s.
+The '''lifthrasirsma''' ({{monzo|legend=1| 29 -11 -2 0 -2 }}, [[ratio]]: 536870912/535869675) is an [[unnoticeable comma|unnoticeable]] [[11-limit]] (also [[2.3.5.11 subgroup|2.3.5.11-]][[subgroup]]) [[comma]] measuring about 3.23 [[cent]]s. It marks the difference between the [[rastma]] and a stack of two [[schisma]]s.
 == Temperaments ==
@@ Line 18: / Line 18: @@
 Comma list: 536870912/535869675
-Sval mapping: {{mapping| 1 1 0 9 | 0 2 0 -11 | 0 0 1 -1 }}
+Subgroup-val mapping: {{mapping| 1 1 0 9 | 0 2 0 -11 | 0 0 1 -1 }}
-Optimal tuning (CTE): ~2 = 1\1, ~16384/13365 = 351.0971, ~5/4 = 386.4070
+Optimal tunings:
+* WE: ~2 = 1199.9228{{c}}, ~16384/13365 = 351.0529{{c}}, ~5/4 = 386.4968{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~16384/13365 = 351.0805{{c}}, ~5/4 = 386.4947{{c}}
-Optimal ET sequence: {{Optimal ET sequence| 17, 24, 41, 65, 205, 270, 335, 581, 605, 646, 916, 981, 2878e, 3859bcee }}
+{{Optimal ET sequence|legend=0| 17, 24, 41, 65, 205, 270, 335, 581, 605, 646, 916, 981, 2878e, 3859bcee }}
-Badness: 0.542 × 10<sup>-3</sup>
+Badness (Sintel): 4.48
 ==== 2.3.5.11.19 subgroup ====
@@ Line 31: / Line 33: @@
 Comma list: 1216/1215, 131072/131043
-Sval mapping: {{mapping| 1 1 0 9 -1 | 0 2 0 -11 10 | 0 0 1 -1 1 }}
+Subgroup-val mapping: {{mapping| 1 1 0 9 -1 | 0 2 0 -11 10 | 0 0 1 -1 1 }}
-Optimal tuning (CTE): ~2 = 1\1, ~256/209 = 351.1010, ~5/4 = 386.4125
+Optimal tunings:
+* WE: ~2 = 1199.9494{{c}}, ~256/209 = 351.0800{{c}}, ~5/4 = 386.4828{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~256/209 = 351.0960{{c}}, ~5/4 = 386.4831{{c}}
-Optimal ET sequence: {{Optimal ET sequence| 17, 24, 41, 65, 181, 205, 270, 581, 646, 851, 916, 1186, 2102 }}
+{{Optimal ET sequence|legend=0| 17, 24, 41, 65, 181, 205, 270, 581, 646, 851, 916, 1186, 2102 }}
-Badness: 0.260 × 10<sup>-3</sup>
+Badness (Sintel): 0.581
 == Etymology ==