ÆÉÌÅ: RATIO FINDER ÆÒÏÍ: ÂUTTRFIELD 01/29/90 Ó#: 831126 ÓÕÂÊÅÃÔ: ÒATIO ÆINDER ÔÙÐÅ: PRG ÂÌÏÃËÓ: 4 ÄÏ×ÎÌÏÁÄÓ: 146 ÅÓÔ. Ä/Ì ÔÉÍÅ: 300: 00:54 1200: 00:15 ÅVER WONDER HOW PEOPLE FIGURE OUT THAT PI (3.1415927) CAN BE CLOSELY MATCHED BY 22/7? ÏR IF THERE'S A CLOSER RATIO? ÏR WHAT VALUE IS REALLY MEANT BY .769230769? ÒÁÔÉÏ ÆÉÎÄÅÒ WILL FIGURE IT OUT .. TYPE IN ANY DECIMAL FRACTION AND IT WILL REPORT SUCCESSIVELY MORE ACCURATE RATIO APPROXIMATIONS. ÂÕÔ ×ÁÉÔ! ÔÈÅÒÅ'Ó ÍÏÒÅ! ÁÔ ÎÏ ÅØÔÒÁ ÃÏÓÔ... ÍUSIC/MATH PEOPLE KNOW THAT NOTES THAT SOUND GOOD TOGETHER, LIKE à AND Ç (A MUSICAL "FIFTH", SEPARATED BY 7 SEMITONES), HAVE AN INTERESTING MATHEMATICAL RATIO (à AND Ç ARE RELATED WITH A RATIO OF ALMOST EXACTLY 2 TO 3). ÃOMPUTER PEOPLE SOMETIMES USE THESE RATIOS TO BUILD A WAVEFORM THAT PLAYS A CHORD CONTAINING SEVERAL NOTES...YOU GUESSED IT, ÒÁÔÉÏ ÆÉÎÄÅÒ WILL WORK OUT THESE RATIOS FOR YOU. ÏNLY FOUR BLOCKS LONG. ÄOWNLOAD IT IN A FLASH, THEN: ÃALCULATE! ÈAVE FUN! ÓING ALONG! (ÊUST KIDDING ABOUT THAT LAST ONE). ÔHIS WORKS ON ALL 8-BIT ÃOMMODORE MACHINES; IT'S WRITTEN IN ÂASIC. ÓO BE SURE TO LOAD WITH ÌÏÁÄ "ÒÁÔÉÏ ÆÉÎÄÅÒ",8 AND ÄÏ ÎÏÔ USE A FOLLOWING ...,1. ÔHE MATHEMATICAL METHOD IS ÐÁÒÔÉÁÌ ÆÒÁÃÔÉÏÎÓ. ÌOOK IT UP SOME TIME IF YOU'RE INTERESTED. << ÐÒÅÓÓ Æ7 ÆÏÒ ÄÏ×ÎÌÏÁÄ ÍÅÎÕ >>