Chirality: Difference between revisions
Move unproved properties to a distinct section |
→Conjectures: the fraction is useless noise. Present the actual number of scales instead |
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== Conjectures == | == Conjectures == | ||
* With respect to edos, chiral scales have a {{w|natural density|density}} of 1 (see table below) | * With respect to edos, chiral scales have a {{w|natural density|density}} of 1 (see table below). | ||
{| class="wikitable right- | {| class="wikitable center-all right-2 right-3" | ||
|+Chiral scales in edos up to 20edo | |+Chiral scales in edos up to 20edo | ||
! Edo | ! Edo | ||
! Number of <br> chiral scales | ! Number of<br>chiral scales | ||
! | ! Number of<br>scales | ||
! | ! Percentage of<br>chiral scales | ||
|- | |- | ||
| 1 | | 1 | ||
| 0 | | 0 | ||
| 1 | |||
| 0.0% | | 0.0% | ||
|- | |- | ||
| 2 | | 2 | ||
| 0 | | 0 | ||
| 2 | |||
| 0.0% | | 0.0% | ||
|- | |- | ||
| 3 | | 3 | ||
| 0 | | 0 | ||
| 3 | |||
| 0.0% | | 0.0% | ||
|- | |- | ||
| 4 | | 4 | ||
| 0 | | 0 | ||
| 5 | |||
| 0.0% | | 0.0% | ||
|- | |- | ||
| 5 | | 5 | ||
| 0 | | 0 | ||
| 7 | |||
| 0.0% | | 0.0% | ||
|- | |- | ||
| 6 | | 6 | ||
| 2 | | 2 | ||
| 9 | |||
| 22.2% | | 22.2% | ||
|- | |- | ||
| 7 | | 7 | ||
| 4 | | 4 | ||
| 18 | |||
| 22.2% | | 22.2% | ||
|- | |- | ||
| 8 | | 8 | ||
| 12 | | 12 | ||
| 30 | |||
| 40.0% | | 40.0% | ||
|- | |- | ||
| 9 | | 9 | ||
| 28 | | 28 | ||
| 56 | |||
| 50.0% | | 50.0% | ||
|- | |- | ||
| 10 | | 10 | ||
| 60 | | 60 | ||
| 99 | |||
| 60.6% | | 60.6% | ||
|- | |- | ||
| 11 | | 11 | ||
| 124 | | 124 | ||
| 186 | |||
| 66.7% | | 66.7% | ||
|- | |- | ||
| 12 | | 12 | ||
| 254 | | 254 | ||
| 335 | |||
| 75.8% | | 75.8% | ||
|- | |- | ||
| 13 | | 13 | ||
| 504 | | 504 | ||
| 630 | |||
| 80.0% | | 80.0% | ||
|- | |- | ||
| 14 | | 14 | ||
| 986 | | 986 | ||
| 1161 | |||
| 84.9% | | 84.9% | ||
|- | |- | ||
| 15 | | 15 | ||
| 1936 | | 1936 | ||
| 2182 | |||
| 88.7% | | 88.7% | ||
|- | |- | ||
| 16 | | 16 | ||
| 3720 | | 3720 | ||
| 4080 | |||
| 91.2% | | 91.2% | ||
|- | |- | ||
| 17 | | 17 | ||
| 7200 | | 7200 | ||
| 7710 | |||
| 93.4% | | 93.4% | ||
|- | |- | ||
| 18 | | 18 | ||
| 13804 | | 13804 | ||
| 14532 | |||
| 95.0% | | 95.0% | ||
|- | |- | ||
| 19 | | 19 | ||
| 26572 | | 26572 | ||
| 27594 | |||
| 96.3% | | 96.3% | ||
|- | |- | ||
| 20 | | 20 | ||
| 50892 | | 50892 | ||
| 52377 | |||
| 97.2% | | 97.2% | ||
|} | |} | ||