Table of 198edo intervals: Difference between revisions

Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Note that no 7-limit interval can be represented by odd degrees, so those entries are left blank. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in ''italic''. Intervals that differ by more than 100%, or with odd limit over 729 are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.  

|-

! #

! Cents

! 5 limit

! 7 limit

| 0

| 0.00

| colspan="4" | '''[[1/1]]'''

|-

| 1

| 6.{{overline|06}}

|  

|  

| 2

| 12.{{overline|12}}

| ?

| [[126/125]]

| 3

| 18.{{overline|18}}

|  

|  

| 4

| 24.{{overline|24}}

| [[81/80]]

| [[64/63]]

| 5

| 30.{{overline|30}}

|  

|  

| 6

| 36.{{overline|36}}

| ''[[128/125]]''

| [[49/48]], [[50/49]]

| 7

| 42.{{overline|42}}

|  

|  

| 8

| 48.{{overline|48}}

| [[250/243]]

| [[36/35]]

| 9

| 54.{{overline|54}}

|  

|  

| 10

| 60.{{overline|60}}

| [[648/625]]

| [[28/27]]

| 11

| 66.{{overline|66}}

|  

|  

| 12

| 72.{{overline|72}}

| [[25/24]]

| "

| 13

| 78.{{overline|78}}

|  

|  

| 14

| 84.{{overline|84}}

| ''[[256/243]]''

| [[21/20]]

| 15

| 90.{{overline|90}}

|  

|  

| 16

| 96.{{overline|96}}

| ''[[135/128]]''

| 200/189

| 17

| 103.{{overline|03}}

|  

|  

| 18

| 109.{{overline|09}}

| [[16/15]]

| "

| 19

| 115.{{overline|15}}

|  

|  

| 20

| 121.{{overline|21}}

| ?

| [[15/14]]

| 21

| 127.{{overline|27}}

|  

|  

| 22

| 133.{{overline|33}}

| [[27/25]]

| "

| 23

| 139.{{overline|39}}

|  

|  

| 24

| 145.{{overline|45}}

| ''625/576''

| [[49/45]]

| 25

| 151.{{overline|51}}

|  

|  

| 26

| 157.{{overline|57}}

| ''800/729''

| [[35/32]]

| 27

| 163.{{overline|63}}

|  

|  

| 28

| 169.{{overline|69}}

| ?

| [[54/49]]

| 29

| 175.{{overline|75}}

|  

|  

| 30

| 181.{{overline|81}}

| [[10/9]]

| "

| 31

| 187.{{overline|87}}

|  

|  

| 32

| 193.{{overline|93}}

| ?

| [[28/25]]

| 33

| 200.00

|  

|  

| 34

| 206.{{overline|06}}

| [[9/8]]

| "

| 35

| 212.{{overline|12}}

|  

|  

| 36

| 218.{{overline|18}}

| ''[[256/225]]''

| 245/216

| 37

| 224.{{overline|24}}

|  

|  

| 38

| 230.{{overline|30}}

| ''729/640''

| '''[[8/7]]'''

| 39

| 236.{{overline|36}}

|  

|  

| 40

| 242.{{overline|42}}

| [[144/125]]

| "

| 41

| 248.{{overline|48}}

|  

|  

| 42

| 254.{{overline|54}}

| 125/108

| [[81/70]]

| 43

| 260.{{overline|60}}

|  

|  

| 44

| 266.{{overline|66}}

| ?

| [[7/6]]

| 45

| 272.{{overline|72}}

|  

|  

| 46

| 278.{{overline|78}}

| ''[[75/64]]''

| 147/125, 288/245

| 47

| 284.{{overline|84}}

|  

|  

| 48

| 290.{{overline|90}}

| ''[[32/27]]''

| [[189/160]]

| 49

| 296.{{overline|96}}

|  

|  

| 50

| 303.{{overline|03}}

| ?

| [[25/21]]

| 51

| 309.{{overline|09}}

|  

|  

| 52

| 315.{{overline|15}}

| [[6/5]]

| "

| 53

| 321.{{overline|21}}

|  

|  

| 54

| 327.{{overline|27}}

| ?

| 98/81

| 55

| 333.{{overline|33}}

|  

|  

| 56

| 339.{{overline|39}}

| 243/200

| 175/144

| 57

| 345.{{overline|45}}

|  

|  

| 58

| 351.{{overline|51}}

| ''768/625''

| [[49/40]], [[60/49]]

| 59

| 357.{{overline|57}}

|  

|  

| 60

| 363.{{overline|63}}

| 100/81

| 216/175

| 61

| 369.{{overline|69}}

|  

|  

| 62

| 375.{{overline|75}}

| ?

| [[56/45]]

| 63

| 381.{{overline|81}}

|  

|  

| 64

| 387.{{overline|87}}

| '''[[5/4]]'''

| "

| 65

| 393.{{overline|93}}

|  

|  

| 66

| 400.00

| ''512/405''

| [[63/50]]

| 67

| 406.{{overline|06}}

|  

|  

| 68

| 412.{{overline|12}}

| ''[[81/64]]''

| [[80/63]]

| 69

| 418.{{overline|18}}

|  

|  

| 70

| 424.{{overline|24}}

| ''[[32/25]]''

| 125/98

| 71

| 430.{{overline|30}}

|  

|  

| 72

| 436.{{overline|36}}

| 625/486

| [[9/7]]

| 73

| 442.{{overline|42}}

|  

|  

| 74

| 448.{{overline|48}}

| 162/125

| [[35/27]]

| 75

| 454.{{overline|54}}

|  

|  

| 76

| 460.{{overline|60}}

| ''125/96''

| [[64/49]]

| 77

| 466.{{overline|66}}

|  

|  

| 78

| 472.{{overline|72}}

| ''320/243''

| [[21/16]]

| 79

| 478.{{overline|78}}

|  

|  

| 80

| 484.{{overline|84}}

| ?

| 250/189

| 81

| 490.{{overline|90}}

|  

|  

| 82

| 496.{{overline|96}}

| '''[[4/3]]'''

| "

| 83

| 503.{{overline|03}}

|  

|  

| 84

| 509.{{overline|09}}

| ?

| ''[[75/56]]'', 168/125

| 85

| 515.{{overline|15}}

|  

|  

| 86

| 521.{{overline|21}}

| [[27/20]]

| "

| 87

| 527.{{overline|27}}

|  

|  

| 88

| 533.{{overline|33}}

| ''512/375''

| [[49/36]]

| 89

| 539.{{overline|39}}

|  

|  

| 90

| 545.{{overline|45}}

| 1000/729

| [[48/35]]

| 91

| 551.{{overline|51}}

|  

|  

| 92

| 557.{{overline|57}}

| ''864/625''

| ''[[112/81]]''

| 93

| 563.{{overline|63}}

|  

|  

| 94

| 569.{{overline|69}}

| [[25/18]]

| "

| 95

| 575.{{overline|75}}

|  

|  

| 96

| 581.{{overline|81}}

| ?

| [[7/5]]

| 97

| 587.{{overline|87}}

|  

|  

| 98

| 593.{{overline|93}}

| ''[[45/32]]''

| 343/243

| 99

| 600.00

|  

|  

| 100

| 606.{{overline|06}}

| ''[[64/45]]''

| 486/343

| 101

| 612.{{overline|12}}

|  

|  

| 102

| 618.{{overline|18}}

| ?

| [[10/7]]

| 103

| 624.{{overline|24}}

|  

|  

| 104

| 630.{{overline|30}}

| [[36/25]]

| "

| 105

| 636.{{overline|36}}

|  

|  

| 106

| 642.{{overline|42}}

| ''625/432''

| ''[[81/56]]''

| 107

| 648.{{overline|48}}

|  

|  

| 108

| 654.{{overline|54}}

| 729/500

| [[35/24]]

| 109

| 660.{{overline|60}}

|  

|  

| 110

| 666.{{overline|66}}

| ''375/256''

| [[72/49]]

| 111

| 672.{{overline|72}}

|  

|  

| 112

| 678.{{overline|78}}

| [[40/27]]

| "

| 113

| 684.{{overline|84}}

|  

|  

| 114

| 690.{{overline|90}}

| ?

| ''[[112/75]]'', 125/84

| 115

| 696.{{overline|96}}

|  

|  

| 116

| 703.{{overline|03}}

| '''[[3/2]]'''

| "

| 117

| 709.{{overline|09}}

|  

|  

| 118

| 715.{{overline|15}}

| ?

| 189/125

| 119

| 721.{{overline|21}}

|  

|  

| 120

| 727.{{overline|27}}

| ''243/160''

| [[32/21]]

| 121

| 733.{{overline|33}}

|  

|  

| 122

| 739.{{overline|39}}

| ''192/125''

| [[49/32]]

| 123

| 745.{{overline|45}}

|  

|  

| 124

| 751.{{overline|51}}

| 125/81

| [[54/35]]

| 125

| 757.{{overline|57}}

|  

|  

| 126

| 763.{{overline|63}}

| 972/625

| [[14/9]]

| 127

| 769.{{overline|69}}

|  

|  

| 128

| 775.{{overline|75}}

| ''[[25/16]]''

| 196/125

| 129

| 781.{{overline|81}}

|  

|  

| 130

| 787.{{overline|87}}

| ''[[128/81]]''

| [[63/40]]

| 131

| 793.{{overline|93}}

|  

|  

| 132

| 800.00

| ''405/256''

| [[100/63]]

| 133

| 806.{{overline|06}}

|  

|  

| 134

| 812.{{overline|12}}

| '''[[8/5]]'''

| "

| 135

| 818.{{overline|18}}

|  

|  

| 136

| 824.{{overline|24}}

| ?

| [[45/28]]

| 137

| 830.{{overline|30}}

|  

|  

| 138

| 836.{{overline|36}}

| 81/50

| 175/108

| 139

| 842.{{overline|42}}

|  

|  

| 140

| 848.{{overline|48}}

| ''625/384''

| [[49/30]], [[80/49]]

| 141

| 854.{{overline|54}}

|  

|  

| 142

| 860.{{overline|60}}

| 400/243

| 288/175

| 143

| 866.{{overline|66}}

|  

|  

| 144

| 872.{{overline|72}}

| ?

| [[81/49]]

| 145

| 878.{{overline|78}}

|  

|  

| 146

| 884.{{overline|84}}

| [[5/3]]

| "

| 147

| 890.{{overline|90}}

|  

|  

| 148

| 896.{{overline|96}}

| ?

| [[42/25]]

| 149

| 903.{{overline|03}}

|  

|  

| 150

| 909.{{overline|09}}

| ''[[27/16]]''

| [[320/189]]

| 151

| 915.{{overline|15}}

|  

|  

| 152

| 921.{{overline|21}}

| ''[[128/75]]''

| 245/144, 250/147

| 153

| 927.{{overline|27}}

|  

|  

| 154

| 933.{{overline|33}}

| ?

| [[12/7]]

| 155

| 939.{{overline|39}}

|  

|  

| 156

| 945.{{overline|45}}

| 216/125

| [[140/81]]

| 157

| 951.{{overline|51}}

|  

|  

| 158

| 957.{{overline|57}}

| [[125/72]]

| "

| 159

| 963.{{overline|63}}

|  

|  

| 160

| 969.{{overline|69}}

| ''1280/729''

| '''[[7/4]]'''

| 161

| 975.{{overline|75}}

|  

|  

| 162

| 981.{{overline|81}}

| ''[[225/128]]''

| 432/245

| 163

| 987.{{overline|87}}

|  

|  

| 164

| 993.{{overline|93}}

| [[16/9]]

| "

| 165

| 1000.00

|  

|  

| 166

| 1006.{{overline|06}}

| ?

| [[25/14]]

| 167

| 1012.{{overline|12}}

|  

|  

| 168

| 1018.{{overline|18}}

| [[9/5]]

| "

| 169

| 1024.{{overline|24}}

|  

|  

| 170

| 1030.{{overline|30}}

| ?

| [[49/27]]

| 171

| 1036.{{overline|36}}

|  

|  

| 172

| 1042.{{overline|42}}

| ''729/400''

| [[64/35]]

| 173

| 1048.{{overline|48}}

|  

|  

| 174

| 1054.{{overline|54}}

| ''1152/625''

| [[90/49]]

| 175

| 1060.{{overline|60}}

|  

|  

| 176

| 1066.{{overline|66}}

| [[50/27]]

| "

| 177

| 1072.{{overline|72}}

|  

|  

| 178

| 1078.{{overline|78}}

| ?

| [[28/15]]

| 179

| 1084.{{overline|84}}

|  

|  

| 180

| 1090.{{overline|90}}

| [[15/8]]

| "

| 181

| 1096.{{overline|96}}

|  

|  

| 182

| 1103.{{overline|03}}

| ''256/135''

| 189/100

| 183

| 1109.{{overline|09}}

|  

|  

| 184

| 1115.{{overline|15}}

| ''[[243/128]]''

| [[40/21]]

| 185

| 1121.{{overline|21}}

|  

|  

| 186

| 1127.{{overline|27}}

| [[48/25]]

| "

| 187

| 1133.{{overline|33}}

|  

|  

| 188

| 1139.{{overline|39}}

| 625/324

| [[27/14]]

| 189

| 1145.{{overline|45}}

|  

|  

| 190

| 1151.{{overline|51}}

| 243/125

| [[35/18]]

| 191

| 1157.{{overline|57}}

|  

|  

| 192

| 1163.{{overline|63}}

| ''125/64''

| 49/25, 96/49

| 193

| 1169.{{overline|69}}

|  

|  

| 194

| 1175.{{overline|75}}

| 160/81

| 63/32

| 195

| 1181.{{overline|81}}

|  

|  

| 196

| 1187.{{overline|87}}

| ?

| 125/63

| 197

| 1193.{{overline|93}}

|  

|  

| 198

| 1200.00

| colspan="4" | '''[[2/1]]'''

|-