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Würschmidt: Difference between revisions

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m Removed protection from "Würschmidt": My review is virtually done
Lériendil (talk | contribs)
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I still insist on bolding higher harmonics for the purposes of visualizing complex chords.
Line 11: Line 11:


== Interval chain ==
== Interval chain ==
In the below, octave-reduced harmonics 1–23 are indicated in '''bold'''.
In the below, octave-reduced harmonics 1–125 are indicated in '''bold'''. All intervals are in the 625-[[odd limit]].


{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
Line 23: Line 23:
| 1 || 387.78 || '''5/4''', 144/115 || 69/55
| 1 || 387.78 || '''5/4''', 144/115 || 69/55
|-
|-
| 2 || 775.55 || 25/16, 36/23 || 69/44, 352/225
| 2 || 775.55 || '''25/16''', 36/23 || 69/44, 352/225
|-
|-
| 3 || 1163.33 || 45/23, 125/64, 736/375 || 88/45, 108/55
| 3 || 1163.33 || 45/23, '''125/64''', 736/375 || 88/45, 108/55
|-
|-
| 4 || 351.10 || 92/75, 225/184, 625/512 || 11/9, 27/22
| 4 || 351.10 || 92/75, 225/184, 625/512 || 11/9, 27/22
Line 31: Line 31:
| 5 || 738.88 || 23/15, 192/125 || 55/36, 135/88
| 5 || 738.88 || 23/15, 192/125 || 55/36, 135/88
|-
|-
| 6 || 1126.66 || 23/12, 48/25 || 44/23, 275/144
| 6 || 1126.66 || 23/12, 48/25 || 44/23
|-
|-
| 7 || 314.43 || 6/5, 115/96 || 55/46
| 7 || 314.43 || 6/5, 115/96 || 55/46
Line 39: Line 39:
| 9 || 1089.98 || '''15/8''', 216/115 || 207/110, 253/135
| 9 || 1089.98 || '''15/8''', 216/115 || 207/110, 253/135
|-
|-
| 10 || 277.76 || 27/23, 75/64 || 88/75, 207/176
| 10 || 277.76 || 27/23, '''75/64''' || 88/75, 207/176
|-
|-
| 11 || 665.54 || 184/125, 135/92, 375/256 || 22/15, 81/55
| 11 || 665.54 || 184/125, 135/92, 375/256 || 22/15, 81/55
Line 47: Line 47:
| 13 || 241.09 || 23/20, 144/125 || 55/48, 132/115
| 13 || 241.09 || 23/20, 144/125 || 55/48, 132/115
|-
|-
| 14 || 628.86 || '''23/16''', 36/25 || 33/23, 275/192
| 14 || 628.86 || '''23/16''', 36/25 || 33/23
|-
|-
| 15 || 1016.64 || 9/5, 115/64 || 165/92, 242/135
| 15 || 1016.64 || 9/5, '''115/64''' || 165/92, 242/135
|-
|-
| 16 || 204.42 || '''9/8''' || 121/108
| 16 || 204.42 || '''9/8''' || 121/108
|-
|-
| 17 || 592.19 || 45/32, 162/115 || 253/180
| 17 || 592.19 || '''45/32''', 162/115 || 253/180
|-
|-
| 18 || 979.97 || 81/46, 225/128 || 44/25
| 18 || 979.97 || 81/46, 225/128 || 44/25
Line 61: Line 61:
| 20 || 555.52 || 69/50, 864/625 || '''11/8''', 243/176
| 20 || 555.52 || 69/50, 864/625 || '''11/8''', 243/176
|-
|-
| 21 || 943.30 || 69/40 || 55/32
| 21 || 555.52 || 69/40, 216/125 || '''55/32'''
|-
|-
| 22 || 131.07 || 69/64 ||  
| 22 || 555.52 || 27/25, '''69/64''' || 99/92
|-
|-
| 23 || 518.84 || 27/20 ||  
| 23 || 555.52 || 27/20, 345/256 ||  
|-
|-
| 24 || 906.62 || 27/16 ||  
| 24 || 555.52 || '''27/16''' || 253/150
|-
|-
| 25 || 94.40 || 135/128 || 132/125
| 25 || 555.52 || 135/128, 243/230 || 132/125, 253/240
|-
|-
| 26 || 482.18 || 243/184 || 33/25
| 26 || 555.52 || 243/184, 828/625 || 33/25, 253/192
|-
|-
| 27 || 869.95 || 207/125 || 33/20
| 27 || 555.52 || 207/125 || 33/20
|-
|-
| 28 || 57.73 || 648/625 || 33/32
| 28 || 555.52 || 207/200, 648/625 || '''33/32'''
|-
| 29 || 555.52 || 162/125, 207/160 || 165/128
|-
| 30 || 555.52 || 81/50, 207/128 || 121/75
|-
| 31 || 555.52 || 81/80 || 121/120
|}
|}
<nowiki>*</nowiki> In 5-limit CWE tuning
<nowiki>*</nowiki> In 5-limit CWE tuning
Retrieved from "https://en.xen.wiki/w/Würschmidt"