96ed7: Difference between revisions
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'''[[Ed7|Division of the 7th harmonic]] into 96 equal parts''' (96ed7) is related to the [[Carlos Gamma]], but with the 7/1 rather than the 3/2 being just. The step size is about 35.0919 cents, | {{Infobox ET}} | ||
'''[[Ed7|Division of the 7th harmonic]] into 96 equal parts''' (96ed7) is related to the [[Carlos Gamma]], but with the 7/1 rather than the 3/2 being just. The step size is about 35.0919 cents, corresponding to every fifth step of [[171edo]]. | |||
{| class="wikitable" | == Intervals == | ||
{| class="wikitable mw-collapsible" | |||
|+ Intervals of 96ed7 | |||
|- | |- | ||
! | degree | ! | degree | ||
| Line 15: | Line 18: | ||
| | 1 | | | 1 | ||
| | 35.0919 | | | 35.0919 | ||
| | | | | [[50/49]], [[49/48]] | ||
| | | | | | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 70.1839 | | | 70.1839 | ||
| | 25/24 | | | [[25/24]] | ||
| | | | | | ||
|- | |- | ||
| | 3 | | | 3 | ||
| | 105.2758 | | | 105.2758 | ||
| | | | | [[17/16]] | ||
| | | | | | ||
|- | |- | ||
| Line 45: | Line 48: | ||
| | 7 | | | 7 | ||
| | 245.6436 | | | 245.6436 | ||
| | 144/125 | | | [[144/125]] | ||
| | | | | | ||
|- | |- | ||
| | 8 | | | 8 | ||
| | 280.7355 | | | 280.7355 | ||
| | | | | [[20/17]] | ||
| | | | | | ||
|- | |- | ||
| Line 70: | Line 73: | ||
| | 12 | | | 12 | ||
| | 421.1032 | | | 421.1032 | ||
| | | | | [[51/40]] | ||
| | | | | | ||
|- | |- | ||
| Line 95: | Line 98: | ||
| | 17 | | | 17 | ||
| | 596.5629 | | | 596.5629 | ||
| | | | | [[24/17]] | ||
| | | | | | ||
|- | |- | ||
| Line 105: | Line 108: | ||
| | 19 | | | 19 | ||
| | 666.7468 | | | 666.7468 | ||
| | | | | [[72/49]] | ||
| | | | | | ||
|- | |- | ||
| Line 125: | Line 128: | ||
| | 23 | | | 23 | ||
| | 807.1145 | | | 807.1145 | ||
| | | | | 51/32 | ||
| | | | | | ||
|- | |- | ||
| Line 145: | Line 148: | ||
| | 27 | | | 27 | ||
| | 947.4823 | | | 947.4823 | ||
| | 216/125 | | | 216/125, 140/81 | ||
| | | | | | ||
|- | |- | ||
| | 28 | | | 28 | ||
| | 982.5742 | | | 982.5742 | ||
| | | | | [[30/17]] | ||
| | | | | | ||
|- | |- | ||
| Line 185: | Line 188: | ||
| | 35 | | | 35 | ||
| | 1228.2178 | | | 1228.2178 | ||
| | | | | [[64/63|128/63]] | ||
| | | | | | ||
|- | |- | ||
| | 36 | | | 36 | ||
| | 1263.3097 | | | 1263.3097 | ||
| | 1296/625 | | | [[648/625|1296/625]], [[28/27|56/27]] | ||
| | | | | | ||
|- | |- | ||
| | 37 | | | 37 | ||
| | 1298.4017 | | | 1298.4017 | ||
| | | | | [[18/17|36/17]] | ||
| | | | | | ||
|- | |- | ||
| | 38 | | | 38 | ||
| | 1333.4936 | | | 1333.4936 | ||
| | 54/25 | | | [[27/25|54/25]] | ||
| | | | | | ||
|- | |- | ||
| Line 245: | Line 248: | ||
| | 47 | | | 47 | ||
| | 1649.3210 | | | 1649.3210 | ||
| | | | | 70/27 | ||
| | | | | | ||
|- | |- | ||
| | 48 | | | 48 | ||
| | 1684.4130 | | | 1684.4130 | ||
| | | | | 119/45, 45/17 | ||
| | | | | | ||
|- | |- | ||
| | 49 | | | 49 | ||
| | 1719.5049 | | | 1719.5049 | ||
| | | | | [[27/20|27/10]] | ||
| | | | | | ||
|- | |- | ||
| Line 265: | Line 268: | ||
| | 51 | | | 51 | ||
| | 1789.6888 | | | 1789.6888 | ||
| | | | | [[45/32|45/16]] | ||
| | | | | | ||
|- | |- | ||
| Line 285: | Line 288: | ||
| | 55 | | | 55 | ||
| | 1930.0565 | | | 1930.0565 | ||
| | | | | [[32/21|64/21]] | ||
| | | | | | ||
|- | |- | ||
| Line 310: | Line 313: | ||
| | 60 | | | 60 | ||
| | 2105.5162 | | | 2105.5162 | ||
| | | | | [[27/16|27/8]] | ||
| | | | | | ||
|- | |- | ||
| Line 350: | Line 353: | ||
| | 68 | | | 68 | ||
| | 2386.2517 | | | 2386.2517 | ||
| | | | | 119/30 | ||
| | | | | | ||
|- | |- | ||
| | 69 | | | 69 | ||
| | 2421.3436 | | | 2421.3436 | ||
| | | | | [[81/80|81/20]] | ||
| | | | | | ||
|- | |- | ||
| Line 385: | Line 388: | ||
| | 75 | | | 75 | ||
| | 2631.8952 | | | 2631.8952 | ||
| | | | | [[8/7|32/7]] | ||
| | | | | | ||
|- | |- | ||
| Line 430: | Line 433: | ||
| | 84 | | | 84 | ||
| | 2947.7227 | | | 2947.7227 | ||
| | | | | [[48/35|192/35]] | ||
| | | | | | ||
|- | |- | ||
| Line 440: | Line 443: | ||
| | 86 | | | 86 | ||
| | 3017.9065 | | | 3017.9065 | ||
| | | | | [[10/7|40/7]] | ||
| | | | | | ||
|- | |- | ||
| | 87 | | | 87 | ||
| | 3052.9985 | | | 3052.9985 | ||
| | 35/6 | | | [[35/24|35/6]] | ||
| | | | | | ||
|- | |- | ||
| | 88 | | | 88 | ||
| | 3088.0904 | | | 3088.0904 | ||
| | | | | 119/20 | ||
| | | | | | ||
|- | |- | ||
| Line 480: | Line 483: | ||
| | 94 | | | 94 | ||
| | 3298.6420 | | | 3298.6420 | ||
| | | | | 168/25 | ||
| | | | | | ||
|- | |- | ||
| | 95 | | | 95 | ||
| | 3333.7340 | | | 3333.7340 | ||
| | | | | [[12/7|48/7]] | ||
| | | | | | ||
|- | |- | ||
| Line 494: | Line 497: | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal|96|7|1|intervals=prime}} | |||
{{Harmonics in equal|96|7|1|intervals=prime|collapsed=1|start=12}} | |||
{{stub}} | |||