0:00:01.169,0:00:04.250 in this video series I plan to cover in[br]moderate depth 0:00:04.250,0:00:07.250 some of the driving concepts in today's[br]tuning theory 0:00:07.250,0:00:13.080 before I can do that however you need[br]to know a little about standard tuning 0:00:13.080,0:00:16.178 and some basic acoustics 0:00:16.178,0:00:20.009 sound is waves of pressure that[br]travel through the air 0:00:20.010,0:00:24.240 the rate at which the high and the low[br]pressures alternate 0:00:24.239,0:00:27.909 is referred to as the sound's frequency 0:00:27.910,0:00:31.640 note that the word frequency though[br]often used synonymously 0:00:31.640,0:00:35.369 with the word pitch actually refers[br]directly to how frequent 0:00:35.369,0:00:38.979 the pressure oscillations are 0:00:38.979,0:00:42.219 frequency is measured in the unit called herz[br]which denotes the number 0:00:42.219,0:00:45.539 of oscillations per second 0:00:45.539,0:00:49.738 when those high and low pressure waves[br]make contact with our ear drum 0:00:49.738,0:00:54.558 it flexes in accordance with those waves[br]and sends that information to the brain 0:00:54.558,0:00:58.058 this is where frequency 0:00:58.058,0:01:02.609 immeasurable phenomenon becomes pitch. a[br]subjective experience 0:01:02.609,0:01:06.439 the pitch of a note refers to how[br]high or low it sounds 0:01:06.439,0:01:09.769 and changes in[br]pitch 0:01:09.769,0:01:13.859 a.k.a. intervals [br]are measured in the units called cents 0:01:13.859,0:01:18.118 where there are twelve hundred cents per[br]octave 0:01:18.118,0:01:21.519 pitch and frequency are related[br]logarithmically 0:01:21.519,0:01:25.599 meaning that linear changes in pitch[br]like going up in octave 0:01:25.599,0:01:29.579 are actually multiplications of frequency 0:01:29.579,0:01:33.420 octave specifically are a doubling [br]of frequency for instance 0:01:33.420,0:01:36.719 from 400 to 800 herz is heard as an[br]octave 0:01:36.719,0:01:40.769 and so is from 800 herz to 1600 herz 0:01:40.769,0:01:43.780 because each is a multiplication by[br]two 0:01:43.780,0:01:46.978 western music uses a collection of pitches 0:01:46.978,0:01:50.368 that divides the octave [br]into 12 equal parts 0:01:50.368,0:01:53.680 100 cents each[br]makes all intervals multiples of 100 cents 0:01:53.680,0:01:57.950 this is only one option however 0:01:57.950,0:02:02.070 out of an infinite number of possible ways[br]to choose what intervals to include in 0:02:02.069,0:02:02.639 your music 0:02:02.640,0:02:06.978 that is to say it is only one possible[br]tuning 0:02:06.978,0:02:11.759 among an infinite number of tunings[br]this twelve-tone 0:02:11.759,0:02:15.078 equal tuning is so ubiquitous in the[br]West however 0:02:15.079,0:02:18.610 that most musicians are unaware that it[br]has a name 0:02:18.610,0:02:22.880 and the alternatives even exist 0:02:34.729,0:02:38.560 up next we dive into a fundamental[br]concept in the world of tuning 0:02:38.560,0:02:40.430 just intonation