S-expression: Difference between revisions

! Square relation

! Ratio

|-

| S2/S4 = ([[4/3]])/([[16/15]])

| ([[5/1]])/([[2/1]])²

| [[5/4]]

|-

| S3/S5 = ([[9/8]])/([[25/24]])

| ([[3/1]])/([[5/3]])²

| [[27/25]]

|-

| S4/S6 = ([[16/15]])/([[36/35]])

| ([[7/3]])/([[3/2]])²

| [[28/27]]

|-

| S5/S7 = ([[25/24]])/([[49/48]])

| ([[2/1]])/([[7/5]])²

| [[50/49]]

|-

| S6/S8 = ([[36/35]])/([[64/63]])

| ([[9/5]])/([[4/3]])²

| [[81/80]]

|-

| S7/S9 = ([[49/48]])/([[81/80]])

| ([[5/3]])/([[9/7]])²

| [[245/243]]

|-

| S8/S10 = ([[64/63]])/([[100/99]])

| ([[11/7]])/([[5/4]])²

| [[176/175]]

|-

| S9/S11 = ([[81/80]])/([[121/120]])

| ([[3/2]])/([[11/9]])²

| [[243/242]]

|-

| S10/S12 = ([[100/99]])/([[144/143]])

| ([[13/9]])/([[6/5]])²

| [[325/324]]

|-

| S11/S13 = ([[121/120]])/([[169/168]])

| ([[7/5]])/([[13/11]])²

| [[847/845]]

|-

| S12/S14 = ([[144/143]])/([[196/195]])

| ([[15/11]])/([[7/6]])²

| [[540/539]]

|-

| S13/S15 = ([[169/168]])/([[225/224]])

| ([[4/3]])/([[15/13]])²

| [[676/675]]

|-

| S14/S16 = ([[196/195]])/([[256/255]])

| ([[17/13]])/([[8/7]])²

| [[833/832]]

|-

| S15/S17 = ([[225/224]])/([[289/288]])

| ([[9/7]])/([[17/15]])²

| [[2025/2023]]

|-

| S16/S18 = ([[256/255]])/([[324/323]])

| ([[19/15]])/([[9/8]])²

| [[1216/1215]]

|-

| S17/S19 = ([[289/288]])/([[361/360]])

| ([[5/4]])/([[19/17]])²

| [[1445/1444]]

|-

| S18/S20 = ([[324/323]])/([[400/399]])

| ([[21/17]])/([[10/9]])²

| [[1701/1700]]

|-

| S19/S21 = ([[361/360]])/([[441/440]])

| ([[11/9]])/([[21/19]])²

| [[3971/3969]]

|-

| S20/S22 = ([[400/399]])/([[484/483]])

| ([[23/19]])/([[11/10]])²

| [[2300/2299]]

|-

| S21/S23 = ([[441/440]])/([[529/528]])

| ([[6/5]])/([[23/21]])²

| [[2646/2645]]

|-

| S22/S24 = ([[484/483]])/([[576/575]])

| ([[25/21]])/([[12/11]])²

| [[3025/3024]]

|-

| S23/S25 = ([[529/528]])/([[625/624]])

| ([[13/11]])/([[25/23]])²

| [[6877/6875]]

|-

| S24/S26 = ([[576/575]])/([[676/675]])

| ([[27/23]])/([[13/12]])²

| [[3888/3887]]

|-

| S25/S27 = ([[625/624]])/([[729/728]])

| ([[7/6]])/([[27/25]])²

| [[4375/4374]]

|-

| S26/S28 = ([[676/675]])/([[784/783]])

| ([[29/25]])/([[14/13]])²

| [[4901/4900]]

|-

| S27/S29 = ([[729/728]])/([[841/840]])

| ([[15/13]])/([[29/27]])²

| [[10935/10933]]

|-

| S28/S30 = ([[784/783]])/([[900/899]])

| ([[31/27]])/([[15/14]])²

| [[6076/6075]]

|-

| S29/S31 = ([[841/840]])/([[961/960]])

| ([[8/7]])/([[31/29]])²

| [[6728/6727]]

|-

| S30/S32 = ([[900/899]])/([[1024/1023]])

| ([[33/29]])/([[16/15]])²

| [[7425/7424]]

|-

| S31/S33 = ([[961/960]])/([[1089/1088]])

| ([[17/15]])/([[33/31]])²

| [[16337/16335]]

|-

| S32/S34 = ([[1024/1023]])/([[1156/1155]])

| ([[35/31]])/([[17/16]])²

| [[8960/8959]]

|-

| S33/S35 = ([[1089/1088]])/([[1225/1224]])

| ([[9/8]])/([[35/33]])²

| [[9801/9800]]

|-

| S36/S38 = ([[1296/1295]])/([[1444/1443]])

| ([[39/35]])/([[19/18]])²

| [[12636/12635]]

|-

| S37/S39 = ([[1369/1368]])/([[1521/1520]])

| ([[10/9]])/([[39/37]])²

| [[13690/13689]]

|-

| S41/S43 = ([[1681/1680]])/([[1849/1848]])

| ([[11/10]])/([[43/41]])²

| [[18491/18490]]

|-

| S45/S47 = ([[2025/2024]])/([[2209/2208]])

| ([[12/11]])/([[47/45]])²

| [[24300/24299]]

|-

| S46/S48 = ([[2116/2115]])/([[2304/2303]])

| ([[49/45]])/([[24/23]])²

| [[25921/25920]]

|-

| S49/S51 = ([[2401/2400]])/([[2601/2600]])

| ([[13/12]])/([[51/49]])²

| [[31213/31212]]

|-

| S52/S54 = ([[2704/2703]])/([[2916/2915]])

| ([[55/51]])/([[27/26]])²

| [[37180/37179]]

|-

| S66/S68 = ([[4356/4355]])/([[4624/4623]])

| ([[69/65]])/([[34/33]])²

| [[75141/75140]]

|-

| S78/S80 = ([[6084/6083]])/([[6400/6399]])

| ([[81/77]])/([[40/39]])²

| [[123201/123200]]

|}