Xenharmonic Wiki

118edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
m →Intervals: the "marks" column is just diatonic degrees and doesn't really involve FJS. And plz save from text sizes
→Intervals: move the ratios column before naming attempts
Line 32: Line 32:
! Cents
! Cents
! Marks
! Marks
! Approximate Ratios *
! Eliora's Naming System<br>(+Shruti 22 correspondence)
! Eliora's Naming System<br>(+Shruti 22 correspondence)
! Eliora's Chemical Notation<br>(if base note = 0)
! Eliora's Chemical Notation<br>(if base note = 0)
! Approximate Ratios *
|-
|-
| 0
| 0
| 0.00
| 0.00
| P1
| P1
|[[1/1]]
| unison
| unison
| oganesson / neutronium
| oganesson / neutronium
| [[1/1]]
|-
|-
| 1
| 1
| 10.17
| 10.17
|  
|  
|[[126/125]], [[225/224]], [[121/120]], [[243/242]]
| semicomma
| semicomma
| hydrogen
| hydrogen
| [[126/125]], [[225/224]], [[121/120]], [[243/242]]
|-
|-
| 2
| 2
| 20.34
| 20.34
|  
|  
|[[81/80]], [[531441/524288]]
| comma
| comma
| helium
| helium
| [[81/80]], [[531441/524288]]
|-
|-
| 3
| 3
| 30.51
| 30.51
|  
|  
|[[64/63]], [[49/48]]
|  
|  
| lithium
| lithium
| [[64/63]], [[49/48]]
|-
|-
| 4
| 4
| 40.68
| 40.68
|  
|  
|[[50/49]]
|  
|  
| beryllium
| beryllium
| [[50/49]]
|-
|-
| 5
| 5
| 50.85
| 50.85
|  
|  
|[[36/35]]
|  
|  
| boron
| boron
| [[36/35]]
|-
|-
| 6
| 6
| 61.02
| 61.02
|  
|  
|[[28/27]]
|  
|  
| carbon
| carbon
| [[28/27]]
|-
|-
| 7
| 7
| 71.19
| 71.19
|  
|  
|[[25/24]]
|  
|  
| nitrogen
| nitrogen
| [[25/24]]
|-
|-
| 8
| 8
| 81.36
| 81.36
|  
|  
|[[21/20]], [[22/21]]
|  
|  
| oxygen
| oxygen
| [[21/20]], [[22/21]]
|-
|-
| 9
| 9
| 91.53
| 91.53
| m2
| m2
|[[19/18]], [[20/19]]
| limma, dayavati
| limma, dayavati
| fluorine
| fluorine
| [[19/18]], [[20/19]]
|-
|-
| 10
| 10
| 101.69
| 101.69
|  
|  
|[[17/16]], [[18/17]]
| dodecaic semitone
| dodecaic semitone
| neon
| neon
| [[17/16]], [[18/17]]
|-
|-
| 11
| 11
| 111.86
| 111.86
|  
|  
|[[16/15]]
| apotome, ranjani
| apotome, ranjani
| sodium
| sodium
| [[16/15]]
|-
|-
| 12
| 12
| 122.03
| 122.03
|  
|  
|[[15/14]]
|  
|  
| magnesium
| magnesium
| [[15/14]]
|-
|-
| 13
| 13
| 132.20
| 132.20
|  
|  
|[[27/25]]
|  
|  
| aluminium
| aluminium
| [[27/25]]
|-
|-
| 14
| 14
| 142.37
| 142.37
|  
|  
|[[88/81]]
|  
|  
| silicon
| silicon
| [[88/81]]
|-
|-
| 15
| 15
| 152.54
| 152.54
|  
|  
|[[12/11]]
|  
|  
| phosphorus
| phosphorus
| [[12/11]]
|-
|-
| 16
| 16
| 162.71
| 162.71
|  
|  
|[[11/10]]
|  
|  
| sulphur
| sulphur
| [[11/10]]
|-
|-
| 17
| 17
| 172.88
| 172.88
|  
|  
|[[21/19]]
|  
|  
| chlorine
| chlorine
| [[21/19]]
|-
|-
| 18
| 18
| 183.05
| 183.05
|  
|  
|[[10/9]]
| diminished tone, ratika
| diminished tone, ratika
| argon
| argon
| [[10/9]]
|-
|-
| 19
| 19
| 193.22
| 193.22
|  
|  
|[[28/25]], [[19/17]]
| minor tone
| minor tone
| potassium
| potassium
| [[28/25]], [[19/17]]
|-
|-
| 20
| 20
| 203.39
| 203.39
| M2
| M2
|[[9/8]]
| major tone, raudri
| major tone, raudri
| calcium
| calcium
| [[9/8]]
|-
|-
| 21
| 21
| 213.56
| 213.56
|  
|  
|[[17/15]]
|  
|  
| scandium
| scandium
| [[17/15]]
|-
|-
| 22
| 22
| 223.73
| 223.73
|  
|  
|[[256/225]]
|  
|  
| titanium
| titanium
| [[256/225]]
|-
|-
| 23
| 23
| 233.90
| 233.90
|  
|  
|[[8/7]]
| septimal second, slendric 2
| septimal second, slendric 2
| vanadium
| vanadium
| [[8/7]]
|-
|-
| 24
| 24
| 244.07
| 244.07
|  
|  
|[[144/125]], [[121/105]]
|  
|  
| chromium
| chromium
| [[144/125]], [[121/105]]
|-
|-
| 25
| 25
| 254.24
| 254.24
|  
|  
|[[125/108]], [[81/70]], [[22/19]]
|  
|  
| manganese
| manganese
| [[125/108]], [[81/70]], [[22/19]]
|-
|-
| 26
| 26
| 260.41
| 260.41
|  
|  
|[[7/6]]
| septimal third
| septimal third
| iron
| iron
| [[7/6]]
|-
|-
| 27
| 27
| 274.58
| 274.58
|  
|  
|[[75/64]]
|  
|  
| cobalt
| cobalt
| [[75/64]]
|-
|-
| 28
| 28
| 284.75
| 284.75
|  
|  
|[[33/28]]
|  
|  
| nickel
| nickel
| [[33/28]]
|-
|-
| 29
| 29
| 294.92
| 294.92
| m3
| m3
|[[32/27]], [[19/16]]
| Pythagorean minor 3rd, krodha
| Pythagorean minor 3rd, krodha
| copper
| copper
| [[32/27]], [[19/16]]
|-
|-
| 30
| 30
| 305.08
| 305.08
|  
|  
|[[25/21]]
|  
|  
| zinc
| zinc
| [[25/21]]
|-
|-
| 31
| 31
| 315.25
| 315.25
|  
|  
|[[6/5]]
| Classical minor 3rd, vajrika
| Classical minor 3rd, vajrika
| gallium
| gallium
| [[6/5]]
|-
|-
| 32
| 32
| 325.42
| 325.42
|  
|  
|[[98/81]]
|  
|  
| germanium
| germanium
| [[98/81]]
|-
|-
| 33
| 33
| 335.59
| 335.59
|  
|  
|[[40/33]], [[17/14]]
| Lesser tridecimal third
| Lesser tridecimal third
| arsenic
| arsenic
| [[40/33]], [[17/14]]
|-
|-
| 34
| 34
| 345.76
| 345.76
|  
|  
|[[11/9]]
| Minor-neutral third
| Minor-neutral third
| selenium
| selenium
| [[11/9]]
|-
|-
| 35
| 35
| 355.93
| 355.93
|  
|  
|[[27/22]], 16/13 I**
| Minor tridecimal neurtral third, "major-neutral" third
| Minor tridecimal neurtral third, "major-neutral" third
| bromine
| bromine
| [[27/22]], 16/13 I**
|-
|-
| 36
| 36
| 366.10
| 366.10
|  
|  
|[[99/80]], [[21/17]], 16/13 II**
| Golden ratio 3rd, major-tridecimal neutral third
| Golden ratio 3rd, major-tridecimal neutral third
| krypton
| krypton
| [[99/80]], [[21/17]], 16/13 II**
|-
|-
| 37
| 37
| 376.27
| 376.27
|  
|  
|[[56/45]]
|  
|  
| rubidium
| rubidium
| [[56/45]]
|-
|-
| 38
| 38
| 386.44
| 386.44
|  
|  
|[[5/4]]
| Classical major 3rd, prasarini
| Classical major 3rd, prasarini
| strontium
| strontium
| [[5/4]]
|-
|-
| 39
| 39
| 396.61
| 396.61
|  
|  
|[[63/50]]
|  
|  
| yttrium
| yttrium
| [[63/50]]
|-
|-
| 40
| 40
| 406.78
| 406.78
| M3
| M3
|[[24/19]], [[19/15]]
| Pythagorean major 3rd
| Pythagorean major 3rd
| zirconium
| zirconium
| [[24/19]], [[19/15]]
|-
|-
| 41
| 41
| 416.95
| 416.95
|  
|  
|[[14/11]]
|  
|  
| niobium
| niobium
| [[14/11]]
|-
|-
| 42
| 42
| 427.12
| 427.12
|  
|  
|[[77/60]]
|  
|  
| molybdenum
| molybdenum
| [[77/60]]
|-
|-
| 43
| 43
| 437.29
| 437.29
|  
|  
|[[9/7]]
|  
|  
| technetium
| technetium
| [[9/7]]
|-
|-
| 44
| 44
| 447.46
| 447.46
|  
|  
|[[35/27]], [[22/17]]
|  
|  
| ruthenium
| ruthenium
| [[35/27]], [[22/17]]
|-
|-
| 45
| 45
| 457.63
| 457.63
|  
|  
|[[98/75]]
| Barbados 3rd
| Barbados 3rd
| rhodium
| rhodium
| [[98/75]]
|-
|-
| 46
| 46
| 467.80
| 467.80
|  
|  
|[[21/16]]
| Slendric 3
| Slendric 3
| palladium
| palladium
| [[21/16]]
|-
|-
| 47
| 47
| 477.97
| 477.97
|  
|  
|[[320/243]]
|  
|  
| silver
| silver
| [[320/243]]
|-
|-
| 48
| 48
| 488.14
| 488.14
|  
|  
|[[160/121]], [[85/64]]
|  
|  
| cadmium
| cadmium
| [[160/121]], [[85/64]]
|-
|-
| 49
| 49
| 498.31
| 498.31
| P4
| P4
|[[4/3]]
| perfect 4th
| perfect 4th
| indium
| indium
| [[4/3]]
|-
|-
| 50
| 50
| 508.47
| 508.47
|  
|  
|[[75/56]], [[51/38]]
|  
|  
| tin
| tin
| [[75/56]], [[51/38]]
|-
|-
| 51
| 51
| 518.64
| 518.64
|  
|  
|[[27/20]]
| Kshiti
| Kshiti
| antimony
| antimony
| [[27/20]]
|-
|-
| 52
| 52
| 528.81
| 528.81
|  
|  
|[[49/36]], [[19/14]]
|  
|  
| tellurium
| tellurium
| [[49/36]], [[19/14]]
|-
|-
| 53
| 53
| 538.98
| 538.98
|  
|  
|[[15/11]]
|  
|  
| iodine
| iodine
| [[15/11]]
|-
|-
| 54
| 54
| 549.15
| 549.15
|  
|  
|[[48/35]], [[11/8]]
|  
|  
| xenon
| xenon
| [[48/35]], [[11/8]]
|-
|-
| 55
| 55
| 559.32
| 559.32
|  
|  
|[[112/81]]
|  
|  
| caesium
| caesium
| [[112/81]]
|-
|-
| 56
| 56
| 569.49
| 569.49
|  
|  
|[[25/18]]
|  
|  
| barium
| barium
| [[25/18]]
|-
|-
| 57
| 57
| 579.66
| 579.66
|  
|  
|[[7/5]]
|  
|  
| lanthanum
| lanthanum
| [[7/5]]
|-
|-
| 58
| 58
| 589.83
| 589.83
| d5
| d5
|[[45/32]]
| Rakta
| Rakta
| cerium
| cerium
| [[45/32]]
|-
|-
| 59
| 59
| 600.00
| 600.00
|  
|  
|[[99/70]], [[140/99]], [[17/12]], [[24/17]]
| symmetric tritone
| symmetric tritone
| praseodymium
| praseodymium
| [[99/70]], [[140/99]], [[17/12]], [[24/17]]
|-
|-
| 60
| 60
| 610.17
| 610.17
| A4
| A4
|[[64/45]]
| Literal tritone, sandipani
| Literal tritone, sandipani
| neodymium
| neodymium
| [[64/45]]
|-
|-
| 61
| 61
| 620.34
| 620.34
|  
|  
|[[10/7]]
|  
|  
|  
|  
| [[10/7]]
|-
|-
| 62
| 62
| 630.51
| 630.51
|  
|  
|[[36/25]]
|  
|  
|  
|  
| [[36/25]]
|-
|-
| 63
| 63
| 640.68
| 640.68
|  
|  
|[[81/56]]
|  
|  
|  
|  
| [[81/56]]
|-
|-
| 64
| 64
| 650.85
| 650.85
|  
|  
|[[35/24]], [[16/11]]
|  
|  
|  
|  
| [[35/24]], [[16/11]]
|-
|-
| 65
| 65
| 661.02
| 661.02
|  
|  
|[[22/15]]
|  
|  
|  
|  
| [[22/15]]
|-
|-
| 66
| 66
| 671.19
| 671.19
|  
|  
|[[72/49]], [[28/19]]
|  
|  
|  
|  
| [[72/49]], [[28/19]]
|-
|-
| 67
| 67
| 681.36
| 681.36
|  
|  
|[[40/27]]
| wolf 5th
| wolf 5th
| holmium
| holmium
| [[40/27]]
|-
|-
| 68
| 68
| 691.53
| 691.53
|  
|  
|[[112/75]], [[76/51]]
| wolf cub 5th
| wolf cub 5th
| erbium
| erbium
| [[112/75]], [[76/51]]
|-
|-
| 69
| 69
| 701.69
| 701.69
| P5
| P5
|[[3/2]]
| perfect 5th
| perfect 5th
| thulium
| thulium
| [[3/2]]
|-
|-
| 70
| 70
| 711.86
| 711.86
|  
|  
|[[121/80]], [[128/85]]
|  
|  
| ytterbium
| ytterbium
| [[121/80]], [[128/85]]
|-
|-
| 71
| 71
| 722.03
| 722.03
|  
|  
|[[243/160]]
|  
|  
| lutetium
| lutetium
| [[243/160]]
|-
|-
| 72
| 72
| 732.20
| 732.20
|  
|  
|[[32/21]]
|  
|  
| hafnium
| hafnium
| [[32/21]]
|-
|-
| 73
| 73
| 742.37
| 742.37
|  
|  
|[[75/49]]
|  
|  
| tantalum
| tantalum
| [[75/49]]
|-
|-
| 74
| 74
| 752.54
| 752.54
|  
|  
|[[54/35]], [[17/11]]
|  
|  
| tungsten
| tungsten
| [[54/35]], [[17/11]]
|-
|-
| 75
| 75
| 762.71
| 762.71
|  
|  
|[[14/9]]
|  
|  
| rhenium
| rhenium
| [[14/9]]
|-
|-
| 76
| 76
| 772.88
| 772.88
|  
|  
|[[120/77]]
|  
|  
| osmium
| osmium
| [[120/77]]
|-
|-
| 77
| 77
| 783.05
| 783.05
|  
|  
|[[11/7]]
|  
|  
| iridium
| iridium
| [[11/7]]
|-
|-
| 78
| 78
| 793.22
| 793.22
| m6
| m6
|[[19/12]], [[30/19]]
| Pythagorean minor 6th
| Pythagorean minor 6th
| platinum
| platinum
| [[19/12]], [[30/19]]
|-
|-
| 79
| 79
| 803.39
| 803.39
|  
|  
|[[100/63]]
|  
|  
| gold
| gold
| [[100/63]]
|-
|-
| 80
| 80
| 813.56
| 813.56
|  
|  
|[[8/5]]
| Classical minor 6th
| Classical minor 6th
| mercury
| mercury
| [[8/5]]
|-
|-
| 81
| 81
| 823.73
| 823.73
|  
|  
|[[45/28]]
|  
|  
| thallium
| thallium
| [[45/28]]
|-
|-
| 82
| 82
| 833.90
| 833.90
|  
|  
|[[160/99]], [[34/21]], [[13/8]] I**
| Golden ratio sixth, minor-neutral tridecimal sixth
| Golden ratio sixth, minor-neutral tridecimal sixth
| lead
| lead
| [[160/99]], [[34/21]], [[13/8]] I**
|-
|-
| 83
| 83
| 844.07
| 844.07
|  
|  
|[[44/27]], 13/8 II**
| Major tridecimal neutral sixth, "minor-neutral" sixth
| Major tridecimal neutral sixth, "minor-neutral" sixth
| bismuth
| bismuth
| [[44/27]], 13/8 II**
|-
|-
| 84
| 84
| 854.24
| 854.24
|  
|  
|[[18/11]]
| Major-neutral sixth
| Major-neutral sixth
| polonium
| polonium
| [[18/11]]
|-
|-
| 85
| 85
| 864.41
| 864.41
|  
|  
|[[28/17]]
|  
|  
|  
|  
| [[28/17]]
|-
|-
| 86
| 86
| 874.58
| 874.58
|  
|  
|[[81/49]]
|  
|  
|  
|  
| [[81/49]]
|-
|-
| 87
| 87
| 884.75
| 884.75
|  
|  
|[[5/3]]
| Classical major 6th
| Classical major 6th
| francium
| francium
| [[5/3]]
|-
|-
| 88
| 88
| 894.92
| 894.92
|  
|  
|[[42/25]]
|  
|  
|  
|  
| [[42/25]]
|-
|-
| 89
| 89
| 905.08
| 905.08
| M6
| M6
|[[27/16]], [[32/19]]
| Pythagorean major 6th
| Pythagorean major 6th
| actinium
| actinium
| [[27/16]], [[32/19]]
|-
|-
| 90
| 90
| 915.25
| 915.25
|  
|  
|[[56/33]]
|  
|  
|  
|  
| [[56/33]]
|-
|-
| 91
| 91
| 925.42
| 925.42
|  
|  
|[[128/75]]
|  
|  
|  
|  
| [[128/75]]
|-
|-
| 92
| 92
| 935.59
| 935.59
|  
|  
|[[12/7]]
| Septimal supermajor 6th, slendro 5
| Septimal supermajor 6th, slendro 5
| uranium
| uranium
| [[12/7]]
|-
|-
| 93
| 93
| 945.76
| 945.76
|  
|  
|[[216/125]], [[140/81]], [[121/70]], [[19/11]]
|  
|  
| neptunium
| neptunium
| [[216/125]], [[140/81]], [[121/70]], [[19/11]]
|-
|-
| 94
| 94
| 955.93
| 955.93
|  
|  
|[[125/72]]
|  
|  
| plutonium
| plutonium
| [[125/72]]
|-
|-
| 95
| 95
| 966.10
| 966.10
|  
|  
|[[7/4]]
| Harmonic 7th
| Harmonic 7th
| americium
| americium
| [[7/4]]
|-
|-
| 96
| 96
| 976.27
| 976.27
|  
|  
|[[225/128]]
|  
|  
| curium
| curium
| [[225/128]]
|-
|-
| 97
| 97
| 986.44
| 986.44
|  
|  
|[[30/17]]
|  
|  
| berkelium
| berkelium
| [[30/17]]
|-
|-
| 98
| 98
| 996.61
| 996.61
| m7
| m7
|[[16/9]]
|  
|  
|  
|  
| [[16/9]]
|-
|-
| 99
| 99
| 1006.78
| 1006.78
|  
|  
|[[25/14]]
|  
|  
|  
|  
| [[25/14]]
|-
|-
| 100
| 100
| 1016.95
| 1016.95
|  
|  
|[[9/5]]
| Tivra
| Tivra
| fermium
| fermium
| [[9/5]]
|-
|-
| 101
| 101
| 1027.12
| 1027.12
|  
|  
|[[38/21]]
|  
|  
|  
|  
| [[38/21]]
|-
|-
| 102
| 102
| 1037.29
| 1037.29
|  
|  
|[[20/11]]
|  
|  
|  
|  
| [[20/11]]
|-
|-
| 103
| 103
| 1047.46
| 1047.46
|  
|  
|[[11/6]]
|  
|  
|  
|  
| [[11/6]]
|-
|-
| 104
| 104
| 1057.63
| 1057.63
|  
|  
|[[81/44]]
|  
|  
|  
|  
| [[81/44]]
|-
|-
| 105
| 105
| 1067.80
| 1067.80
|  
|  
|[[50/27]]
|  
|  
|  
|  
| [[50/27]]
|-
|-
| 106
| 106
| 1077.97
| 1077.97
|  
|  
|[[28/15]]
|  
|  
|  
|  
| [[28/15]]
|-
|-
| 107
| 107
| 1088.14
| 1088.14
|  
|  
|[[15/8]]
|  
|  
|  
|  
| [[15/8]]
|-
|-
| 108
| 108
| 1098.31
| 1098.31
|  
|  
|[[32/17]], [[17/9]]
|  
|  
|  
|  
| [[32/17]], [[17/9]]
|-
|-
| 109
| 109
| 1108.47
| 1108.47
| M7
| M7
|[[36/19]], [[19/10]]
| Pythagorean major 7th
| Pythagorean major 7th
| meitnerium
| meitnerium
| [[36/19]], [[19/10]]
|-
|-
| 110
| 110
| 1118.64
| 1118.64
|  
|  
|[[40/21]], [[21/11]]
|  
|  
| darmstadtium
| darmstadtium
| [[40/21]], [[21/11]]
|-
|-
| 111
| 111
| 1128.81
| 1128.81
|  
|  
|[[48/25]]
|  
|  
| roentgenium
| roentgenium
| [[48/25]]
|-
|-
| 112
| 112
| 1138.98
| 1138.98
|  
|  
|[[27/14]]
|  
|  
| copernicium
| copernicium
| [[27/14]]
|-
|-
| 113
| 113
| 1149.15
| 1149.15
|  
|  
|[[35/18]], [[64/33]]
|  
|  
| nihonium
| nihonium
| [[35/18]], [[64/33]]
|-
|-
| 114
| 114
| 1159.32
| 1159.32
|  
|  
|[[49/25]]
|  
|  
| flerovium
| flerovium
| [[49/25]]
|-
|-
| 115
| 115
| 1169.49
| 1169.49
|  
|  
|[[63/32]], [[96/49]]
|  
|  
| moscovium
| moscovium
| [[63/32]], [[96/49]]
|-
|-
| 116
| 116
| 1179.66
| 1179.66
|  
|  
|[[160/81]]
| Comma 7th
| Comma 7th
| livermorium
| livermorium
| [[160/81]]
|-
|-
| 117
| 117
| 1189.83
| 1189.83
|  
|  
|[[125/63]], [[448/225]], [[240/121]], [[484/243]]
| Semicomma supermajor 7th
| Semicomma supermajor 7th
| tenessine
| tenessine
| [[125/63]], [[448/225]], [[240/121]], [[484/243]]
|-
|-
| 118
| 118
| 1200.00
| 1200.00
| P8
| P8
|[[2/1]]
| perfect 8ve
| perfect 8ve
| oganesson / neutronium
| oganesson / neutronium
| [[2/1]]
|}
|}
<nowiki>*</nowiki> treated as a 2.3.5.7.11.17.19 system
<nowiki>*</nowiki> treated as a 2.3.5.7.11.17.19 system
Retrieved from "https://en.xen.wiki/w/118edo"