49/36: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = Arabic lute acute fourth | | Name = Arabic lute acute fourth | ||
| Color name = | | Color name = zz5, zozo 5th | ||
| Sound = jid_49_36_pluck_adu_dr220.mp3 | | Sound = jid_49_36_pluck_adu_dr220.mp3 | ||
}} | }} | ||
'''49/36''', the '''Arabic lute acute fourth''', is composed of two subminor thirds of [[7/6]], and is the interval between [[9/7]] and [[7/4]]. It is [[540/539]] (~4{{cent}}) flat of [[15/11]]. Tempering out 540/539 leads to 11-limit [[swetismic chords]], such as the tempering of <span style="white-space:nowrap">[[28:36:42:49|1–9/7–3/2–7/4]]</span> (note that this chord is [[15-odd-limit]]). | |||
== Approximation == | |||
This interval is especially near the 4th step of [[9edo]]. | |||
{{Interval edo approximation}} | |||
[[Category: | [[Category:Fourth]] | ||
[[Category: | [[Category:Superfourth]] | ||
Latest revision as of 18:21, 14 March 2026
| Interval information |
[sound info]
49/36, the Arabic lute acute fourth, is composed of two subminor thirds of 7/6, and is the interval between 9/7 and 7/4. It is 540/539 (~4 ¢) flat of 15/11. Tempering out 540/539 leads to 11-limit swetismic chords, such as the tempering of 1–9/7–3/2–7/4 (note that this chord is 15-odd-limit).
Approximation
This interval is especially near the 4th step of 9edo.
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 9 | 4\9 | 533.33 | -0.41 | -0.31 |
| 18 | 8\18 | 533.33 | -0.41 | -0.61 |
| 27 | 12\27 | 533.33 | -0.41 | -0.92 |
| 36 | 16\36 | 533.33 | -0.41 | -1.23 |
| 38 | 17\38 | 536.84 | +3.10 | +9.82 |
| 45 | 20\45 | 533.33 | -0.41 | -1.53 |
| 47 | 21\47 | 536.17 | +2.43 | +9.51 |
| 54 | 24\54 | 533.33 | -0.41 | -1.84 |
| 56 | 25\56 | 535.71 | +1.97 | +9.20 |
| 63 | 28\63 | 533.33 | -0.41 | -2.14 |
| 65 | 29\65 | 535.38 | +1.64 | +8.90 |
| 72 | 32\72 | 533.33 | -0.41 | -2.45 |
| 74 | 33\74 | 535.14 | +1.39 | +8.59 |