49/25: Difference between revisions
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{{Infobox | {{Infobox interval | ||
| Name = BP eighth | | Name = jubilismic suboctave, BP eighth | ||
| Color name = zzgg9, bizogu 9th | | Color name = zzgg9, bizogu 9th | ||
| Comma = no | | Comma = no | ||
}} | }} | ||
'''49/25''', the '''jubilismic suboctave''', is a [[jubilisma]] short of the [[2/1|octave]]. As a stack of two [[7/5]] diminished fifths, it can be thought of as a diminished ninth. It is also called the '''BP eighth''' in the [[Bohlen–Pierce]] scale. | |||
It is approximated by many notable tunings besides Bohlen–Pierce, including but not limited to [[27edo]], [[34edo]], [[53edo]] and [[72edo]], though for 34edo neither the [[patent val]] nor the 34d val (written with [[wart notation]]) actually maps it to the closest step, but the [[68edo]] mapping must be used instead. | |||
== Approximation == | == Approximation == | ||
{{Interval edo approximation|49/25}} | |||
== See also == | |||
* [[50/49]] – its octave complement | |||
Latest revision as of 00:57, 27 April 2026
| Interval information |
BP eighth
49/25, the jubilismic suboctave, is a jubilisma short of the octave. As a stack of two 7/5 diminished fifths, it can be thought of as a diminished ninth. It is also called the BP eighth in the Bohlen–Pierce scale.
It is approximated by many notable tunings besides Bohlen–Pierce, including but not limited to 27edo, 34edo, 53edo and 72edo, though for 34edo neither the patent val nor the 34d val (written with wart notation) actually maps it to the closest step, but the 68edo mapping must be used instead.
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 2 | 2\2 | 1200.00 | +34.98 | +5.83 |
| 3 | 3\3 | 1200.00 | +34.98 | +8.74 |
| 31 | 30\31 | 1161.29 | -3.73 | -9.65 |
| 32 | 31\32 | 1162.50 | -2.52 | -6.73 |
| 33 | 32\33 | 1163.64 | -1.39 | -3.82 |
| 34 | 33\34 | 1164.71 | -0.32 | -0.90 |
| 35 | 34\35 | 1165.71 | +0.69 | +2.01 |
| 36 | 35\36 | 1166.67 | +1.64 | +4.93 |
| 37 | 36\37 | 1167.57 | +2.54 | +7.84 |
| 66 | 64\66 | 1163.64 | -1.39 | -7.63 |
| 67 | 65\67 | 1164.18 | -0.85 | -4.72 |
| 68 | 66\68 | 1164.71 | -0.32 | -1.80 |
| 69 | 67\69 | 1165.22 | +0.19 | +1.11 |
| 70 | 68\70 | 1165.71 | +0.69 | +4.02 |
| 71 | 69\71 | 1166.20 | +1.17 | +6.94 |
| 72 | 70\72 | 1166.67 | +1.64 | +9.85 |
See also
- 50/49 – its octave complement