User:Akselai/SandBox: Difference between revisions
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Numbered Musical Notation | Numbered Musical Notation | ||
<syntaxhighlight> | <syntaxhighlight> | ||
WT13C XII Prelude Example (Diamond MOS accidentals) | WT13C XII Prelude Example (Diamond MOS accidentals) | ||
(ovb = 2/1 ("octave") lower) | |||
[13edo] [21221212] [6\13 higher than written] | |||
|| | | | | • •• | • • • ••• | • | | | |||
|| 1234 | 5 3 6 4 3 1 |&812 -123 4567 |&8 6 4 6 7 6 | 5345 6 7&8 1 23 | 4 2 &8 2 3218 | 1 7 5 7 &8765 | 7 4 2 6 5432 | | |||
3 ||• ════ | ――― ――― ――― | ══― ════ ════ | ――― ――― ――― | ════ ――═══ ――══ | ――― ――― ════ | ――― ――― ════ | ――― ――― ════ | | |||
|| | | • | | | | | | | |||
--- ||• ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ etc. | |||
|| | | | | | | | | | |||
4 ||• 0 | 1 2 3 | 4 2 &8 | 2 6 ♮8 12 | 3• 2 1 7 |&8• 3 1 | 5• &8 6 | 2• 5 3 | | |||
|| | | | ――══ | ― ――― | ― | ― | ― | | |||
|| ovb | | • | • • | • | • | • • • | • • • | | |||
</syntaxhighlight> | |||
https://en.xen.wiki/w/Modeless_Interchange | |||
{| class="wikitable" | |||
|- | |||
! | |||
! [[1L 6s]] | |||
! [[2L 5s]] | |||
! [[3L 4s]] | |||
! [[4L 3s]] | |||
! [[5L 2s]] | |||
! [[6L 1s]] | |||
|- | |||
| Bright generator range | |||
| 6\7 < ''g'' < 1\1 | |||
| 3\7 < ''g'' < 1\2 | |||
| 2\7 < ''g'' < 1\3 | |||
| 5\7 < ''g'' < 3\4 | |||
| 4\7 < ''g'' < 3\5 | |||
| 1\7 < ''g'' < 1\6 | |||
|- | |||
| Possible 0-2-4 chords | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| '''1:''g''<sup>2</sup>:''g''<sup>4</sup>''', 1:''g''<sup>2</sup>:2''g''<sup>-3</sup>, 1:2''g''<sup>-5</sup>:2''g''<sup>-3</sup> | |||
|- | |||
| Ideal Δ-ratio | |||
| +2 +3, +5 +6, +1 +1 | |||
| +2 +3, +4 +5, +1 +1 | |||
| +1 +2, +5 +6, +1 +5 | |||
| +1 +2, +5 +6, +3 +1 | |||
| +2 +3, +5 +6, +1 +1 | |||
| +4 +5, +6 +5, +1 +2 | |||
|- | |||
| Optimal value of ''g'' | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| 1.1180, 1.1146, 1.1183 | |||
|- | |||
| in [[19edo]] | |||
| +4+1, +1+3, +1+1 (L:s=7:2) | |||
| +5+1, +3+10, +1+1 (L:s=7:1) | |||
| +5+1, +4+5, +5+4 (L:s=5:1) | |||
| +1+2, +4+5, +6+5 (L:s=4:1) | |||
| +2+3, +5+6, +1+1 (L:s≒3:2) | |||
| +5:9, +4+5, +1+1 (L:s≒3:1) | |||
|} | |||
= some well known scales = | |||
{{Rank-n scale|LmLsLsLmLss}} | |||
{{Rank-n scale|SLMLSLMLSL}} | |||
{{Rank-n scale|mLLsLmLsL}} | |||
{{Rank-n scale|xyzxyxyz}} | |||
{{Rank-n scale|aabab}} | |||
== aghfasdgasdhfasghdsgahdfhasfhdfghasfgdhfashdfgh == | |||
{{Rank-n scale|aghfasdgasdhfasghdsgahdfhasfhdfghasfgdhfashdfgh}} | |||
== the most useless temperament(s) in all of xen history == | |||
=== Rank-2 === | |||
==== Microphone ==== | |||
{{see also| 44th-octave temperaments}} | |||
This temperament additionally tempers out the parismina [1 -26 0 2 10⟩, which is even smaller than the blare comma. Surprisingly, this temperament admits an optimal generator very close to [[3/2]]. | |||
[ | [[Subgroup]]: 2.9.7.11 (lol wrong!! should have been 2.3.7.11 instead) | ||
[[Comma list]]: {{monzo| -52 2 0 10 6 }}, {{monzo| 1 -26 0 2 10 }} | |||
{{Mapping|legend=2| 44 88 175 75 | 0 2 -2 3 }} | |||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~64/63 = 1\44 = 27.273, ~{{monzo| 25 0 0 -5 -3 }} = 701.953 | |||
{{Optimal ET sequence|legend=1| 176, 484, 660, 836, 1012, 1848, 4708, 6556, 11264, 17820, 29084, 46904, 75988, 122892}} | |||
[[Badness]] (Smith): 2.466 × 10<sup>-3</sup> | |||
</ | |||