User:Lériendil/Square and triangle superparticulars by prime subgroup: Difference between revisions

! Ratio

! Smonzo

| S2

| [[3-limit|2.3]]

| [[4/3]]

| {{monzo| 2 -1 }}

| S3

| [[3-limit|2.3]]

! Ratio

! Smonzo

| T2

| [[3-limit|2.3]]

! Ratio

! Smonzo

| S4

| [[5-limit|L5]]

| [[16/15]]

| {{monzo| 4 -1 -1 }}

| S5

| [[5-limit|L5]]

| [[25/24]]

| {{monzo| -3 -1 2 }}

| S9

| [[5-limit|L5]]

| [[81/80]]

| {{monzo| -4 4 -1 }}

| S7

| [[2.3.7 subgroup|2.3.7]]

| [[49/48]]

| {{monzo| -4 -1 2 }}

| S8

| [[2.3.7 subgroup|2.3.7]]

| [[64/63]]

| {{monzo| 6 -2 -1 }}

| S17

| 2.3.17

! Ratio

! Smonzo

| T3

| [[5-limit|L5]]

| [[135/128]]

| {{monzo| -7 3 1 }}

| T4

| [[5-limit|L5]]

| [[128/125]]

| {{monzo| 7 -3 }}

| T7

| [[2.3.7 subgroup|2.3.7]]

! Ratio

! Smonzo

| S6 = T8

| [[7-limit|L7]]

| [[36/35]]

| {{monzo| 2 2 -1 -1 }}

| S15

| [[7-limit|L7]]

| [[225/224]]

| {{monzo| -5 2 2 -1 }}

| S49

| [[7-limit|L7]]

| [[2401/2400]]

| {{monzo| -5 -1 -2 4 }}

| S10

| L5.11

| [[100/99]]

| {{monzo| 2 -2 2 -1 }}

| S11

| L5.11

| [[121/120]]

| {{monzo| -3 -1 -1 2 }}

| S25

| L5.13

| [[625/624]]

| {{monzo| -4 -1 4 -1 }}

| S26

| L5.13

| [[676/675]]

| {{monzo| 2 -3 -2 2 }}

| S16

| L5.17

| [[256/255]]

| {{monzo| 8 -1 -1 -1 }}

| S19

| L5.19

| [[361/360]]

| {{monzo| -3 -2 -1 2 }}

| S24

| L5.23

| [[576/575]]

| {{monzo| 6 2 -2 -1 }}

| S81

| L5.41

| [[6561/6560]]

| {{monzo| -5 8 -1 -1 }}

| S80

| L5.79

! Ratio

! Smonzo

| T5

| [[7-limit|L7]]

| [[875/864]]

| {{monzo| -5 -3 3 1 }}

| T6

| [[7-limit|L7]]

| [[1728/1715]]

| {{monzo| 6 3 -1 -3 }}

| T8 = S6

| [[7-limit|L7]]

| [[5120/5103]]

| {{monzo| 10 -6 1 -1 }}

| T9

| L5.11

| [[8019/8000]]

| {{monzo| -6 6 -3 1 }}

| T10

| L5.11

| [[4000/3993]]

| {{monzo| 5 -1 3 -3 }}

| T25

| L5.13

| [[140625/140608]]

| {{monzo| -6 2 6 -3 }}

| T16

| L5.17

! Ratio

! Smonzo

| S13

| 2.3.7.13

| [[169/168]]

| {{monzo| -3 -1 -1 2 }}

| S27

| 2.3.7.13

| [[729/728]]

| {{monzo| -3 6 -1 -1 }}

| S28

| 2.3.7.29

| [[784/783]]

| {{monzo| 4 -3 2 -1 }}

| S63

| 2.3.7.31

| [[3969/3968]]

| {{monzo| -7 4 2 -1 }}

| S48

| 2.3.7.47

| [[2304/2303]]

| {{monzo| 8 2 -2 -1 }}

| S97

| 2.3.7.97

| [[9409/9408]]

| {{monzo| -6 -1 -2 2 }}

| S127

| 2.3.7.127

! Ratio

! Smonzo

| S12

| 2.3.11.13

| [[144/143]]

| {{monzo| 4 2 -1 -1 }}

| S33

| 2.3.11.17

| [[1089/1088]]

| {{monzo| -6 2 -1 2 }}

| S23

| 2.3.11.23

| [[529/528]]

| {{monzo| -4 -1 -1 2 }}

| S32

| 2.3.11.31

| [[1024/1023]]

| {{monzo| 10 -1 -1 -1 }}

| S243

| 2.3.11.61

| [[59049/59048]]

| {{monzo| -3 10 -2 -1 }}

| S242

| 2.3.11.241

! Ratio

! Smonzo

| S53

| 2.3.13.53

| [[2809/2808]]

| {{monzo| -3 -3 -1 2 }}

| S18

| 2.3.17.19

| [[324/323]]

| {{monzo| 2 4 -1 -1 }}

| S577

| 2.3.17.577

| [[332929/332928]]

| {{monzo| -7 -2 -2 2 }}

| S37

| 2.3.19.37

| [[1369/1368]]

| {{monzo| -3 -2 -1 2 }}

| S47

| 2.3.23.47

! Ratio

! Smonzo

| T17

| 2.3.17.19

! Ratio

! Smonzo

| S21

| [[11-limit|L11]]

| [[441/440]]

| {{monzo| -3 2 -1 2 -1 }}

| S55

| [[11-limit|L11]]

| [[3025/3024]]

| {{monzo| -4 -3 2 -1 2 }}

| S99

| [[11-limit|L11]]

| [[9801/9800]]

| {{monzo| -3 4 -2 -2 2 }}

| S14

| L7.13

| [[196/195]]

| {{monzo| 2 -1 -1 2 -1 }}

| S64

| L7.13

| [[4096/4095]]

| {{monzo| 12 -2 -1 -1 -1 }}

| S35 = T49

| L7.17

| [[1225/1224]]

| {{monzo| -3 -2 2 2 -1 }}

| S50

| L7.17

| [[2500/2499]]

| {{monzo| 2 -1 4 -2 -1 }}

| S20

| L7.19

| [[400/399]]

| {{monzo| 4 -1 2 -1 -1 }}

| S161

| L7.23

| [[25921/25920]]

| {{monzo| -6 -4 -1 2 2 }}

| S29

| L7.29

| [[841/840]]

| {{monzo| -3 -1 -1 -1 2 }}

| S125

| L7.31

| [[15625/15624]]

| {{monzo| -3 -2 6 -1 -1 }}

| S36

| L7.37

| [[1296/1295]]

| {{monzo| 4 4 -1 -1 -1 }}

| S41

| L7.41

| [[1681/1680]]

| {{monzo| -4 -1 -1 -1 2 }}

| S244

| L7.61

| [[59536/59535]]

| {{monzo| 4 -5 -1 -2 2 }}

| S71

| L7.71

| [[5041/5040]]

| {{monzo| -4 -2 -1 -1 2 }}

| S225

| L7.113

| [[50625/50624]]

| {{monzo| -6 4 -1 4 -1 }}

| S126

| L7.127

| [[15876/15875]]

| {{monzo| 2 4 -3 2 -1 }}

| S224

| L7.223

| [[50176/50175]]

| {{monzo| 10 -2 -2 2 -1 }}

| S251

| L7.251

| [[59536/59535]]

| {{monzo| -3 -2 -3 -1 2 }}

| S449

| L7.449

| [[201601/201600]]

| {{monzo| -7 -2 -2 -1 2 }}

| S4375

| L7.547

| [[19140625/19140624]]

| {{monzo| -4 -7 8 2 -1 }}

| S2401

| L7.1201

| [[5764801/5764800]]

| {{monzo| -5 -1 -2 8 -1 }}

| S2400

| L7.2399

| [[5760000/5759999]]

| {{monzo| 10 2 4 -4 -1 }}

| S4801

| L7.4801

! Ratio

! Smonzo

| T13

| L7.13

| [[10985/10976]]

| {{monzo| -5 1 -3 3 }}

| T14

| L7.13

| [[43904/43875]]

| {{monzo| 7 -3 -3 3 -1 }}

| T26

| L7.13

| [[492128/492075]]

| {{monzo| 5 -9 -2 1 3 }}

| T15

| L7.17

| [[57375/57344]]

| {{monzo| -13 3 3 -1 1 }}

| T49 = S35

| L7.17

| [[2000033/2000000]]

| {{monzo| -7 -6 6 1 }}

| T19

| L7.19

| [[48013/48000]]

| {{monzo| -7 -1 -3 1 3 }}

| T28

| L7.29

| [[219520/219501]]

| {{monzo| 7 -2 1 3 -3 }}

| T126

| L7.127

! Ratio

! Smonzo

| S65

| L13(-7)

| [[4225/4224]]

| {{monzo| -7 -1 2 -1 2 }}

| S45

| L5.11.23

| [[2025/2024]]

| {{monzo| -3 4 2 -1 -1 }}

| S44

| L5.11.43

| [[1936/1935]]

| {{monzo| 4 -2 -1 2 -1 }}

| S54

| L5.11.53

| [[2916/2915]]

| {{monzo| 2 6 -1 -1 -1 }}

| S121

| L5.11.61

| [[14641/14640]]

| {{monzo| -4 -1 -1 4 -1 }}

| S89

| L5.11.89

| [[7921/7920]]

| {{monzo| -4 -2 -1 -1 2 }}

| S485

| L5.11.97

| [[235225/235224]]

| {{monzo| -3 -5 2 -2 2 }}

| S100

| L5.11.101

| [[10000/9999]]

| {{monzo| 4 -2 4 -1 -1 }}

| S109

| L5.11.109

| [[11881/11880]]

| {{monzo| -3 -3 -1 -1 2 }}

| S241

| L5.11.241

! Ratio

! Smonzo

| T11

| L13(-7)

| [[17303/17280]]

| {{monzo| 7 3 1 -3 -1 }}

| T23

| L5.11.23

| [[304175/304128]]

| {{monzo| -10 -3 2 -1 3 }}

| T241

| L5.11.241

==== No-fives (L11(-5).p) subgroups ====

== See also ==

* [[User:Lériendil/Third-superparticulars_and_semiparticulars_by_prime_subgroup|Third-superparticulars and semiparticulars by prime subgroup]]