35/26: Difference between revisions
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It has 50% relative error in 120edo |
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The '''animist fourth''' (frequency ratio '''35/26''') is a [[13-limit]] interval which is well approximated in several equal step tunings, most notably [[7edo]] (as 3\7). As its name implies, it is an [[105/104|animist comma (105/104)]] wider than a [[4/3|just perfect fourth (4/3)]]. | The '''animist fourth''' (frequency ratio '''35/26''') is a [[13-limit]] interval which is well approximated in several equal step tunings, most notably [[7edo]] (as 3\7). As its name implies, it is an [[105/104|animist comma (105/104)]] wider than a [[4/3|just perfect fourth (4/3)]]. | ||
== Approximation == | |||
{{Interval edo approximation|35/26}} | |||
== See also == | == See also == | ||
* [[52/35]] – its [[octave complement]] | * [[52/35]] – its [[octave complement]] | ||
Latest revision as of 13:11, 3 November 2025
| Interval information |
The animist fourth (frequency ratio 35/26) is a 13-limit interval which is well approximated in several equal step tunings, most notably 7edo (as 3\7). As its name implies, it is an animist comma (105/104) wider than a just perfect fourth (4/3).
Approximation
| Edo | Step size | Cents (¢) | Absolute error (¢) | Relative error (%) |
|---|---|---|---|---|
| 7 | 3\7 | 514.29 | -0.33 | -0.19 |
| 14 | 6\14 | 514.29 | -0.33 | -0.38 |
| 21 | 9\21 | 514.29 | -0.33 | -0.57 |
| 28 | 12\28 | 514.29 | -0.33 | -0.76 |
| 35 | 15\35 | 514.29 | -0.33 | -0.95 |
| 42 | 18\42 | 514.29 | -0.33 | -1.14 |
| 49 | 21\49 | 514.29 | -0.33 | -1.33 |
| 56 | 24\56 | 514.29 | -0.33 | -1.52 |
| 63 | 27\63 | 514.29 | -0.33 | -1.71 |
| 70 | 30\70 | 514.29 | -0.33 | -1.90 |
| 77 | 33\77 | 514.29 | -0.33 | -2.09 |