Pitch Transposition Scalings

Below is a table of pitch transpositions by half-step in equal temperament. To transpose a pitch up by a perfect fifth search for +7 in the left-hand columns in the table below, then see what multiplier is necessary to raise the pitch of a frequency by a perfect fifth. In this case the multiplier is 1.49831 (slightly flat from a just-intonation perfect-fifth).

The table covers transpositions between +4 and -4 octaves from the original pitch.

0 1. 1 1.05946 2 1.12246 3 1.18921 4 1.25992 5 1.33484 6 1.41421 7 1.49831 8 1.5874 9 1.68179 10 1.7818 11 1.88775	12 2. 13 2.11893 14 2.24492 15 2.37841 16 2.51984 17 2.66968 18 2.82843 19 2.99661 20 3.1748 21 3.36359 22 3.56359 23 3.7755	24 4. 25 4.23785 26 4.48985 27 4.75683 28 5.03968 29 5.33936 30 5.65685 31 5.99323 32 6.3496 33 6.72717 34 7.12719 35 7.55099	36 8. 37 8.4757 38 8.9797 39 9.51366 40 10.0794 41 10.6787 42 11.3137 43 11.9865 44 12.6992 45 13.4543 46 14.2544 47 15.102
-48 0.0625 -47 0.0662164 -46 0.0701539 -45 0.0743254 -44 0.0787451 -43 0.0834275 -42 0.0883883 -41 0.0936442 -40 0.0992126 -39 0.105112 -38 0.111362 -37 0.117984	-36 0.125 -35 0.132433 -34 0.140308 -33 0.148651 -32 0.15749 -31 0.166855 -30 0.176777 -29 0.187288 -28 0.198425 -27 0.210224 -26 0.222725 -25 0.235969	-24 0.25 -23 0.264866 -22 0.280616 -21 0.297302 -20 0.31498 -19 0.33371 -18 0.353553 -17 0.374577 -16 0.39685 -15 0.420448 -14 0.445449 -13 0.471937	-12 0.5 -11 0.529732 -10 0.561231 -9 0.594604 -8 0.629961 -7 0.66742 -6 0.707107 -5 0.749154 -4 0.793701 -3 0.840896 -2 0.890899 -1 0.943874