9ed9/8: Difference between revisions

Xenllium (talk | contribs)
Created page with "'''9ED9/8''' is the equal division of the Pythagorean whole tone into nine parts of 22.6567 cents each, corresponding to 52.9645 edo..."
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Added just approximation
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| | 1223.4600
| | 1223.4600
| | (9/8)<font style="vertical-align:super;font-size:0.8em;">6</font> = 531441/262144
| | (9/8)<font style="vertical-align:super;font-size:0.8em;">6</font> = 531441/262144
|}
== Just approximation ==
=== 15-odd-limit mappings ===
The following table shows how [[15-odd-limit intervals]] are represented in 9ed9/8 (ordered by absolute error).
{| class="wikitable center-all"
|+ Direct mapping (even if inconsistent)
|-
! Interval(s)
! Error (abs, [[cent|¢]])
|-
| [[9/8]]
|0.0
|-
| [[3/2]], [[4/3]]
|0.402
|-
| [[26/15]]
|0.679
|-
| [[15/8]], [[5/3]]
|0.749
|-
| [[16/9]]
|0.803
|-
| [[13/10]]
|1.081
|-
| [[5/4]], [[10/9]]
|1.15
|-
| [[15/13]]
|1.482
|-
| [[6/5]], [[16/15]]
|1.552
|-
| [[20/13]]
|1.884
|-
| [[9/5]], [[8/5]]
|1.954
|-
| [[13/8]], [[13/9]]
|2.231
|-
| [[13/12]]
|2.633
|-
| [[16/13]], [[18/13]]
|3.034
|-
| [[24/13]]
|3.436
|-
| [[12/7]]
|4.206
|-
| [[22/13]]
|4.524
|-
| [[9/7]], [[8/7]]
|4.607
|-
| [[7/6]]
|5.009
|-
| [[13/11]]
|5.327
|-
| [[7/4]], [[14/9]]
|5.411
|-
| [[10/7]]
|5.758
|-
| [[22/15]]
|6.006
|-
| [[15/14]]
|6.159
|-
| [[11/10]]
|6.408
|-
| [[7/5]]
|6.561
|-
| [[15/11]]
|6.809
|-
| [[13/7]]
|6.838
|-
| [[28/15]]
|6.963
|-
| [[11/6]]
|7.156
|-
| [[20/11]]
|7.211
|-
| [[11/9]], [[11/8]]
|7.558
|-
| [[14/13]]
|7.642
|-
| [[12/11]]
|7.96
|-
| [[18/11]], [[16/11]]
|8.361
|-
| [[14/11]]
|9.688
|-
| [[11/7]]
|10.491
|}
|}