Miracle: Difference between revisions
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Only bold harmonics and subharmonics, following other similar pages |
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== Interval chain == | == Interval chain == | ||
In the following table, odd harmonics and subharmonics 1–21 are labeled in '''bold'''. | |||
{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
| Line 18: | Line 18: | ||
! # | ! # | ||
! Cents* | ! Cents* | ||
! Approximate | ! Approximate ratios | ||
|- | |- | ||
| 0 | | 0 | ||
| Line 26: | Line 26: | ||
| 1 | | 1 | ||
| 116.7 | | 116.7 | ||
| 15/14, 16/15 | | 15/14, '''16/15''' | ||
|- | |- | ||
| 2 | | 2 | ||
| Line 34: | Line 34: | ||
| 3 | | 3 | ||
| 350.1 | | 350.1 | ||
| | | 11/9 | ||
|- | |- | ||
| 4 | | 4 | ||
| 466.8 | | 466.8 | ||
| 21/16 | | '''21/16''' | ||
|- | |- | ||
| 5 | | 5 | ||
| 583.6 | | 583.6 | ||
| | | 7/5 | ||
|- | |- | ||
| 6 | | 6 | ||
| Line 54: | Line 54: | ||
| 8 | | 8 | ||
| 933.7 | | 933.7 | ||
| | | 12/7 | ||
|- | |- | ||
| 9 | | 9 | ||
| 1050.4 | | 1050.4 | ||
| | | 11/6 | ||
|- | |- | ||
| 10 | | 10 | ||
| 1167.1 | | 1167.1 | ||
| 88/45, 96/49, | | 49/25, 55/28, 63/32, 88/45, 96/49, 108/55 | ||
|- | |- | ||
| 11 | | 11 | ||
| 83.8 | | 83.8 | ||
| 22/21 | | 21/20, 22/21 | ||
|- | |- | ||
| 12 | | 12 | ||
| Line 74: | Line 74: | ||
| 13 | | 13 | ||
| 317.2 | | 317.2 | ||
| | | 6/5 | ||
|- | |- | ||
| 14 | | 14 | ||
| 434.0 | | 434.0 | ||
| | | 9/7 | ||
|- | |- | ||
| 15 | | 15 | ||
| Line 90: | Line 90: | ||
| 17 | | 17 | ||
| 784.1 | | 784.1 | ||
| | | 11/7 | ||
|- | |- | ||
| 18 | | 18 | ||
| Line 98: | Line 98: | ||
| 19 | | 19 | ||
| 1017.5 | | 1017.5 | ||
| | | 9/5 | ||
|- | |- | ||
| 20 | | 20 | ||
| Line 110: | Line 110: | ||
| 22 | | 22 | ||
| 167.6 | | 167.6 | ||
| | | 11/10 | ||
|- | |- | ||
| 23 | | 23 | ||
| Line 148: | Line 148: | ||
| 81/80, 121/120 | | 81/80, 121/120 | ||
|} | |} | ||
<nowiki>* | <nowiki/>* In 11-limit [[CTE tuning]], octave reduced | ||
== Chords == | == Chords == | ||
{{ | {{Main| Chords of miracle }} | ||
== Scales == | == Scales == | ||