47/44
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Ratio
47/44
Subgroup monzo
2.11.47 [-2 -1 1⟩
Size in cents
114.1887¢
Name(s)
missing ?
FJS name
[math]\text{M2}^{47}_{11}[/math]
Special properties
reduced
Tenney height (log2 nd)
11.014
Weil height (log2 max(n, d))
11.1092
Wilson height (sopfr(nd))
62
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.27071 bits
Comma size
large
Open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
47/44 is a 47-limit (2.11.47 subgroup) interval of about 114 cents. Treating this as a comma to be tempered in the 2.11.47 subgroup gives the following rank-2 temperament:
Equal Temperament Mappings
| 2 | 11 | 47 | ||
|---|---|---|---|---|
| [ ⟨ | 2 | 7 | 11 | ] |
| ⟨ | 1 | 3 | 5 | ] ⟩ |
Reduced Mapping
| 2 | 11 | 47 | ||
|---|---|---|---|---|
| [ ⟨ | 1 | 4 | 6 | ] |
| ⟨ | 0 | -1 | -1 | ] ⟩ |
TE Generator Tunings (cents)
⟨1204.8777, 639.0056]
TE Step Tunings (cents)
⟨565.87206, 73.13354]
TE Tuning Map (cents)
⟨1204.878, 4180.505, 6590.260]
TE Mistunings (cents)
⟨4.878, 29.187, -75.246]