User:Hkm/Intro page: Difference between revisions

Line 19:

For example, if we take two frequencies at 100 Hz (called "Do" here) and 150 Hz ("Sol"), we see that the notes share frequencies at LCM(100, 150) = 300 and every multiple of it.<pre>Tone Frequencies of partials (Hz)

Do 100 200 300 400 500 600 700 800 900 ...

So 150 300 450 600 750 900 1050 ~~1200 1350~~ ...</pre>These partials will "meld" when our Do and Sol are played together. This goes by the wonderful name of ''Tonverschmelzung'' in German. It is a very distinctive "blending" sound. If our Sol was tuned to, for example, 148 Hz, its second harmonic component would be at 296 Hz, and the two tones played together would not meld together at 300 Hz, but would "beat". That is, we would hear a throbbing sound, the "beat rate" of which is found by reckoning the distance in Hertz between the two near-coincident partials. In this case, 300 - 296 = 4 Hz, so we'd hear a beating of four times a second (this is like a rhythm of eighth notes at a metronome marking of 120 beats per minute). This melding and beating makes it easy to sing JI intervals.

So 150 300 450 600 750 900 1050 1201350 ...</pre>These partials will "meld" when our Do and Sol are played together. This goes by the wonderful name of ''Tonverschmelzung'' in German. It is a very distinctive "blending" sound. If our Sol was tuned to, for example, 148 Hz, its second harmonic component would be at 296 Hz, and the two tones played together would not meld together at 300 Hz, but would "beat". That is, we would hear a throbbing sound, the "beat rate" of which is found by reckoning the distance in Hertz between the two near-coincident partials. In this case, 300 - 296 = 4 Hz, so we'd hear a beating of four times a second (this is like a rhythm of eighth notes at a metronome marking of 120 beats per minute). This melding and beating makes it easy to sing JI intervals.

===Through other phenomena===

@@ Line 19: / Line 19: @@
 For example, if we take two frequencies at 100 Hz (called "Do" here) and 150 Hz ("Sol"), we see that the notes share frequencies at LCM(100, 150) = 300 and every multiple of it.<pre>Tone   Frequencies of partials (Hz)
 Do     100  200  300  400  500  600  700  800  900  ...
-So     150  300  450  600  750  900 1050 1200 1350  ...</pre>These partials will "meld" when our Do and Sol are played together. This goes by the wonderful name of ''Tonverschmelzung'' in German. It is a very distinctive "blending" sound. If our Sol was tuned to, for example, 148 Hz, its second harmonic component would be at 296 Hz, and the two tones played together would not meld together at 300 Hz, but would "beat". That is, we would hear a throbbing sound, the "beat rate" of which is found by reckoning the distance in Hertz between the two near-coincident partials. In this case, 300 - 296 = 4 Hz, so we'd hear a beating of four times a second (this is like a rhythm of eighth notes at a metronome marking of 120 beats per minute). This melding and beating makes it easy to sing JI intervals.
+So     150  300  450  600  750  900 1050 1201350  ...</pre>These partials will "meld" when our Do and Sol are played together. This goes by the wonderful name of ''Tonverschmelzung'' in German. It is a very distinctive "blending" sound. If our Sol was tuned to, for example, 148 Hz, its second harmonic component would be at 296 Hz, and the two tones played together would not meld together at 300 Hz, but would "beat". That is, we would hear a throbbing sound, the "beat rate" of which is found by reckoning the distance in Hertz between the two near-coincident partials. In this case, 300 - 296 = 4 Hz, so we'd hear a beating of four times a second (this is like a rhythm of eighth notes at a metronome marking of 120 beats per minute). This melding and beating makes it easy to sing JI intervals.
 ===Through other phenomena===