User:BudjarnLambeth/Table of stretched 42edo tunings: Difference between revisions

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[[42edo]] has almost 50% relative error on harmonics 3/1 and 5/1. This means that whether one [[Octave stretch|stretches]] or [[Octave shrinking|compresses]] the octave, either way it will improve 42edo’s approximations of [[JI]], but in opposite directions.
[[42edo]] has almost 50% relative error on harmonics 3/1 and 5/1. This means that whether one [[Octave stretch|stretches]] or [[Octave shrinking|compresses]] the octave, either way it will improve 42edo’s approximations of [[JI]], but in opposite directions.


This table provides a detailed comparison of three stretched- and two compressed-octave tunings for 42edo.
This table provides a detailed comparison of three stretched- and three compressed-octave tunings for 42edo.


{| class="wikitable"
{| class="wikitable"
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| <small>ex: 5 <br>gd: 2, 13 <br>ok: 3, 11 <br>ba: 7</small>
| <small>ex: 5 <br>gd: 2, 13 <br>ok: 3, 11 <br>ba: 7</small>
| '''<small>ex: 2, 7 <br>gd: <br>ok: 11 <br>ba: 3, 5, 13</small>'''
| '''<small>ex: 2, 7 <br>gd: <br>ok: 11 <br>ba: 3, 5, 13</small>'''
| <small>ex: 2 <br>gd: 3, 5, 7, 13 <br>ok: 11 <br>ba:</small>
| <small>ex: 2 <br>gd: 5, 7, 13 <br>ok: 3, 11 <br>ba:</small>
| <small>ex: 5, 11, 13 <br>gd: 2, 3 <br>ok: <br>ba: 7</small>
| <small>ex: 5, 11, 13 <br>gd: 2, 3 <br>ok: <br>ba: 7</small>
| <small>ex: 3, 5, 11 <br>gd: 2 <br>ok: 13 <br>ba: 7</small>
| <small>ex: 3, 5, 11 <br>gd: 2 <br>ok: 13 <br>ba: 7</small>
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| 173 <br>(5)
| 173 <br>(5)
|-
|-
| colspan="8" | <small><div style="text-align: center;">''ex = “excellent”, 0-12.5% relative error • gd = “good”, 12.5-27.5% • ok = “okay”, 27.5-40% • bd = “bad”, 40-50%''</div></small>
| colspan="8" | <small><div style="text-align: center;">''ex = “excellent”, 0-13% relative error • gd = “good”, 13-27% • ok = “okay”, 27-40% • bd = “bad”, 40-50%''</div></small>
|}
|}


[[Category:42edo]][[Category:Tables]]
[[Category:42edo]][[Category:Tables]]