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Various equal divisions of the octave have close approximations of [[acoustic phi]], or <math>φ</math>, ≈833.090296357¢. | Various equal divisions of the octave have close approximations of [[acoustic phi]], or <math>φ</math>, ≈833.090296357¢. | ||
If the <math>m^{th}</math> step of <math>n</math><span> | If the <math>m^{th}</math> step of <math>n</math><span>edo is a close approximation of <math>φ</math>, the <math>n^{th}</math> step of <math>m</math><span>ed<math>φ</math> will be a close approximation of 2. | ||
For example, the 7th step of [[10edo]] is 840¢, and the 10th step of 7ed<math>φ</math> is ≈1190.128995¢. | For example, the 7th step of [[10edo]] is 840¢, and the 10th step of 7ed<math>φ</math> is ≈1190.128995¢. | ||
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| rowspan="2" |'''scale step''' | | rowspan="2" |'''scale step''' | ||
| colspan="4" |''' | | colspan="4" |'''10ed2''' | ||
| colspan="4" |'''7edφ or 10ed(<math>2^{\frac{10log_2{φ}}{7}} ≈ 1.988629015</math>)''' | | colspan="4" |'''7edφ or 10ed(<math>2^{\frac{10log_2{φ}}{7}} ≈ 1.988629015</math>)''' | ||
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| rowspan="2" |'''scale step''' | | rowspan="2" |'''scale step''' | ||
| colspan="4" |''' | | colspan="4" |'''13ed2''' | ||
| colspan="4" |'''9edφ or 13ed(<math>2^{\frac{13log_2{φ}}{9}} ≈ 2.003876886</math>)''' | | colspan="4" |'''9edφ or 13ed(<math>2^{\frac{13log_2{φ}}{9}} ≈ 2.003876886</math>)''' | ||
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