34edf: Difference between revisions

Intervals: review
Theory: +subsets and supersets
 
(One intermediate revision by the same user not shown)
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{{Harmonics in equal|34|3|2|intervals=integer}}
{{Harmonics in equal|34|3|2|intervals=integer}}
{{Harmonics in equal|34|3|2|intervals=integer|columns=12|start=12|collapsed=1|title=Approximation of harmonics in 34edf (continued)}}
{{Harmonics in equal|34|3|2|intervals=integer|columns=12|start=12|collapsed=1|title=Approximation of harmonics in 34edf (continued)}}
=== Subsets and supersets ===
Since 34 factors into primes as {{nowrap| 2 × 17 }}, 34edf contains [[2edf]] and [[17edf]] as subset edfs.


== Intervals ==
== Intervals ==
Line 24: Line 27:
| 1
| 1
| 20.6
| 20.6
| 56/55, 64/63, 81/80, ''128/125''
| ''56/55'', 64/63, 81/80, 91/90, 105/104
|-
|-
| 2
| 2
| 41.3
| 41.3
| 36/35, 49/48, 50/49, 55/54
| 36/35, 40/39, 45/44, 49/48, 50/49, 55/54
|-
|-
| 3
| 3
Line 84: Line 87:
| 16
| 16
| 330.3
| 330.3
| 17/14
| 17/14, 40/33
|-
|-
| 17·
| 17·
Line 92: Line 95:
| 18
| 18
| 371.6
| 371.6
| 21/17
| 21/17, 26/21
|-
|-
| 19
| 19
Line 180: Line 183:
| 40
| 40
| 825.8
| 825.8
| 34/21
| 21/13, 34/21
|-
|-
| 41
| 41
Line 188: Line 191:
| 42
| 42
| 867.1
| 867.1
| 28/17
| 28/17, 33/20
|-
|-
| 43
| 43
Line 212: Line 215:
| 48
| 48
| 991.0
| 991.0
| 16/9, 30/17
| 16/9
|-
|-
| 49
| 49
Line 224: Line 227:
| 51
| 51
| 1052.9
| 1052.9
| 11/6, 24/13
| 11/6
|-
|-
| 52
| 52
| 1073.6
| 1073.6
| 13/7, 28/15
| 13/7
|-
|-
| 53
| 53
| 1094.2
| 1094.2
| 15/8, 17/9, 32/17
| 15/8, 17/9
|-
|-
| 54
| 54
| 1114.9
| 1114.9
| 21/11, 40/21, ''48/25''
| 21/11
|-
|-
| 55
| 55
| 1135.5
| 1135.5
| 25/13, 27/14, 52/27, 64/33
| 25/13, 27/14
|-
|-
| 56
| 56
| 1156.2
| 1156.2
| 35/18, 49/25, 96/49, 108/55
| 35/18, 39/20, 49/25
|-
|-
| 57
| 57
| 1176.8
| 1176.8
| 55/28, 63/32, ''125/64'', 160/81
| 55/28, 63/32
|-
|-
| 58
| 58
Line 256: Line 259:
| 59
| 59
| 1218.1
| 1218.1
| 81/40, 112/55, 128/63, ''256/125''
| 81/40, 91/45, 105/52
|-
|-
| 60
| 60
| 1238.7
| 1238.7
| 49/24, 72/35, 55/27, 100/49
| 45/22, 49/24, 55/27
|-
|-
| 61
| 61
| 1259.4
| 1259.4
| 27/13, 33/16, 52/25, 56/27
| 27/13, 33/16
|-
|-
| 62
| 62
| 1280.0
| 1280.0
| 21/10, 25/12, 44/21
| 21/10, 25/12
|-
|-
| 63
| 63
| 1300.7
| 1300.7
| 17/8, 32/15, 36/17
| 17/8
|-
|-
| 64
| 64
| 1321.3
| 1321.3
| 15/7, 28/13
| 15/7
|-
|-
| 65
| 65
| 1342.0
| 1342.0
| 13/6, 24/11
| 13/6
|-
|-
| 66
| 66