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| = Title2 = | | = Title2 = |
| == Octave stretch or compression == | | == Octave compression == |
| What follows is a comparison of stretched- and compressed-octave 22edo tunings. | | What follows is a comparison of compressed-octave 22edo tunings. |
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| ; [[51ed5]]
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| * Step size: NNN{{c}}, octave size: nnn{{c}}
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| Stretching the octave of 22edo by around 3{{c}} results in greatly improved primes 3 and 7, but far worse primes 5 and 11 and a [[JND|just noticeably worse]] 2. The mapping of 13 differs from 22edo but has about the same amount of error. This approximates all harmonics up to 16 within 21.9{{c}}. With its worse 5 and 11, it only really makes sense as a [[2.3.7]] tuning (eg for [[archy]] temperament). The tuning 57ed6 does this.
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| {{Harmonics in equal|51|5|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in 57ed6}}
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| {{Harmonics in equal|51|5|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in 57ed6 (continued)}}
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| ; 22edo | | ; 22edo |