47/44: Difference between revisions
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{{Infobox interval | {{Infobox interval | ||
| Comma=yes}} | | Comma=yes}} | ||
'''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: | '''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: | ||
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⟨4.878, 29.187, -75.246] | ⟨4.878, 29.187, -75.246] | ||
{{todo|improve layout|explain its xenharmonic value|inline=1|text=This temperament does not appear to be supported by any [[simple map]], and its value as a rank-2 temperament is unclear.}} | |||
Latest revision as of 04:34, 30 July 2025
| Interval information |
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]
|
Todo: improve layout, explain its xenharmonic value
This temperament does not appear to be supported by any simple map, and its value as a rank-2 temperament is unclear. |