Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1663edo is only consistent to the 3-limit and the errors of its lower harmonics are quite large, except for its harmonic 11/1 with an relative error of only 3.5 percent. === Odd harmonics === {{Harmonics in equal|1663}} === Subsets and supersets === 1663edo is the 261st prime edo. 3326edo, which doubles it, gives a good correction to its harmonic 5. == Regular temperament properties == {| class=..."

2025-10-16T11:06:35Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1663edo is only consistent to the 3-limit and the errors of its lower harmonics are quite large, except for its harmonic 11/1 with an relative error of only 3.5 percent. === Odd harmonics === {{Harmonics in equal|1663}} === Subsets and supersets === 1663edo is the 261st prime edo. 3326edo, which doubles it, gives a good correction to its harmonic 5. == Regular temperament properties == {| class=..."

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{{Infobox ET}}
{{ED intro}}

== Theory ==
1663edo is only [[consistent]] to the [[3-limit]] and the errors of its lower [[harmonic]]s are quite large, except for its harmonic [[11/1]] with an relative error of only 3.5 percent.

=== Odd harmonics ===
{{Harmonics in equal|1663}}

=== Subsets and supersets ===
1663edo is the 261st [[prime edo]]. [[3326edo]], which doubles it, gives a good correction to its harmonic [[5/1|5]].

== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" |[[Subgroup]]
! rowspan="2" |[[Comma list|Comma List]]
! rowspan="2" |[[Mapping]]
! rowspan="2" |Optimal<br>8ve Stretch (¢)
! colspan="2" |Tuning Error
|-
![[TE error|Absolute]] (¢)
![[TE simple badness|Relative]] (%)
|-
| 2.3
| {{monzo|2636 -1663}}
| {{mapping|1663 2636}}
| −0.0472
| 0.0472
| 6.54
|}

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