Majvam comma: Difference between revisions

Interval information
Ratio	2404631929946112/2384185791015625
Factorization	240 × 37 × 5-22
Monzo	[40 7 -22⟩
Size in cents	14.7833¢
Name	Mavjam comma
FJS name	[math]\displaystyle{ \text{11d6}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	102.177
Weil norm (log2 max(n, d))	102.189
Wilson norm (sopfr(nd))	211
Comma size	small
	Open this interval in xen-calc

Revision as of 02:02, 6 November 2024

The mavjam comma, is a 5-limit small comma. By tempering it out is defined themavjam temperament, which has some useful low-badness extensions.

The name mavjam comma was named by Petr Pařízek in 2011.

Comma list: [ 40 7 -22 >

Mapping: [⟨1 10 5], ⟨0 -22 -7]]

mapping generators: ~2/1, ~125/96

Adjusted Error: 0.301086 cents

TE Error: 0.129670 cents/octave

@@ Line 2: / Line 2: @@
 | Name = Mavjam comma
 | Monzo = 40 7 -22
+| Ratio = 2404631929946112/2384185791015625
 | Comma = yes}}
-The '''mavjam comma''', is a [[5-limit]] [[small comma]]. By tempering it out is defined the [[mavjam]] temperament, which has some useful low-[[badness]] extensions.
+The '''mavjam comma''', is a [[5-limit]] [[small comma]]. By tempering it out is defined themavjam temperament, which has some useful low-[[badness]] extensions.
 == Etymology ==
 The name ''mavjam comma'' was named by [[Petr Pařízek]] in 2011.
+== Temperaments ==
+=== Mavjam ===
+[[Subgroup]]: 2.3.5
+[[Comma list]]: [ 40 7 -22 >
+{{Mapping|legend=1| 1 10 5 | 0 -22 -7 }}
+: mapping generators: ~2/1, ~125/96
+[[Optimal tuning]]s:
+* [[POTE]]: ~2/1 = 1\1, ~125/96 = 458.9949
+* [[TE]]: ~2/1 = 1199.8635, ~125/96 = 458.9427
+Recommended [[EDO]]s: {{EDOs|34, 183, 217, 68, 149, 251, 115, 102, 285, 366}}
+[[Complexity]]: 5.961844
+[[Adjusted Error]]: 0.301086 cents
+[[TE Error]]: 0.129670 cents/octave
 [[Category:Commas with unknown etymology]]