;************************************* AURAL COMBINATION TONES *********************************** ; WHEN TWO OR MORE TONES ARE PRESENTED SIMULTANEOULS, VARIOS NONLINEAR PROCESSES IN THE EAR PRODUCE ; COMBINATION TONES. THE MOST IMPORTANT COMBINATION TONES ARE THE "DIFFERENCE TONES" OF VARIOS ORDERS, ; WITH FREQUENCIES F1 - N(F2 - F1), WHERE "N" IS AN INTERGER, AND F2 - F1. ; TWO PROMINENT DIFFERENCE TONES ARE THE QUADRATIC DIFFERENCE TONE F2 - F1, OR SIMPLY THE "DIFFERENCE ; TONE", AND THE CUBIC TONE 2F1 - F2. IF F1 REMAINS CONSTANT (AT 1000HZ IN THIS DEMONSTRATION) WHILE F2 ; THE CUBIC DIFFERENCE TONE MOVES IN THE OPPOSITE DIRECTION. AT LOW LEVELS (@ 50DB), THEY CAN BE HEARD ; FROM ABOUT F2/F1 = 1.2 TO 1.4, BUT AT 80DB THEY ARE AUDIBLE OVER NEARLY AN ENTIRE OCTAVE (F2/F1 = 1 ; TO 2. IN THIS CASE, QUADRATIC AND CUBIC DIFFERENCE TONES CROSS OVER AT 1.5. ; IN THIS DEMONSTRATION, WHICH FOLLOWS NO. 19 ON THE "HARVARD TAPES," TONES WITH FREQUENCIES OF 1000 ; AND 1200HZ ARE FIRST PRESENTED. WHEN AN 804HZ TONE IS ADDED, IT BEATS WITH THE 800HZ (QUADRATIC) DIF- ; FERENCE TONE. ; NEXT, THE FREQUENCY OF THE UPPER TONE IS SLOWLY INCREASED FROM F2 = 1200 TO 1600HZ AND BACK AGAIN. ; YOU SHOULD HEAR THE CUBIC DIFFERENCE TONE MOVING OPPOSITE TO F2, SOON JOINED BY THE QUADRATIC DIF- ; FERENCE TONE, WHICH FIRST BECOMES AUDIBLE AT A LOW PITCH AND MOVES IN THE SAME DIRECTION AS F2. THEY ; SHOULD CROSS OVER WHEN F2 = 1500HZ. ; OVER PART OF THE FREQUENCY RANGE, THE QUARTIC DIFFERENCE TONE 3F1 - F2 MAY BE AUDIBLE. ;***************************************** HEADER ************************************************* sr = 44100 kr = 4410 ksmps = 10 nchnls = 2 instr 1 iamp = ampdb(p4) ;P4 = AMPLITUDE IN DB ifreq = p5 ;P5 = FREQUENCY k1 linen iamp,.03,p3,.03 a1 oscili k1,ifreq,1 outs a1,a1 endin instr 2 iamp = ampdb(p4) ;P4 = AMPLITUDE IN DB k1 linen iamp,.03,p3,.03 a2 linseg 1200,21,1600,21,1200 a1 oscili k1,a2,1 outs a1,a1 endin