Father: Difference between revisions

CompactStar (talk | contribs)
No edit summary
+one more step in the interval chain table. Cleanup
Line 8: Line 8:


== Interval chain ==
== Interval chain ==
In the following table, prime harmonics are labeled in '''bold'''.  
In the following table, odd harmonics 1–9 are labeled in '''bold'''.  


{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
Line 18: Line 18:
| 1 || 727.9 || '''3/2''', '''8/5''', 14/9
| 1 || 727.9 || '''3/2''', '''8/5''', 14/9
|-
|-
| 2 || 255.7 || 6/5, 7/6, 9/8
| 2 || 255.7 || 6/5, 7/6, '''9/8'''
|-
|-
| 3 || 983.6 || '''7/4''', 9/5
| 3 || 983.6 || '''7/4''', 9/5
|-
| 4 || 511.4 || 7/5
|}
|}
<nowiki>*</nowiki> in 7-limit CTE tuning
<nowiki>*</nowiki> in 7-limit CTE tuning
Line 32: Line 34:
| 1\2 ||  || 600.0 || Lower bound of 5-odd-limit diamond monotone
| 1\2 ||  || 600.0 || Lower bound of 5-odd-limit diamond monotone
|-
|-
| || 4/3 || 702.0 || Untempered
| || 3/2 || 702.0 || Pythagorean tuning
|-
|-
| 3\5 ||  || 720.0 || Lower bound of 7-odd-limit diamond monotone<br>9-odd-limit diamond monotone (singleton)
| 3\5 ||  || 720.0 || Lower bound of 7-odd-limit diamond monotone<br>9-odd-limit diamond monotone (singleton)
|-
|-
|  || 8/7 || 722.9 ||
|  || 7/4 || 722.9 ||
|-
|-
|  || 7/6 || 733.4 ||
|  || 7/6 || 733.4 ||
Line 42: Line 44:
| 8\13 ||  || 738.5 ||
| 8\13 ||  || 738.5 ||
|-
|-
|  || 10/9 || 739.2 ||  
|  || 9/5 || 739.2 || 1/3-comma
|-
|-
|  || 7/5 || 745.6 || 7-odd-limit minimax
|  || 7/5 || 745.6 || 7-odd-limit minimax
Line 48: Line 50:
| 5\8 ||  || 750.0 || Upper bound of 7-odd-limit diamond monotone
| 5\8 ||  || 750.0 || Upper bound of 7-odd-limit diamond monotone
|-
|-
| || 6/5 || 757.8 || 1/2-comma, 5-odd-limit minimax
| || 5/3 || 757.8 || 1/2-comma, 5-odd-limit minimax
|-
|-
| || 9/7 || 764.9 || 9-odd-limit minimax
| || 9/7 || 764.9 || 9-odd-limit minimax