This isn’t immediately obvious until you’ve compared the two for yourself. The hearing system isn’t listening out for equal difference in Hz, it’s listening out for equal difference in step size ratio. When tuning theory folks mention “equal” scales, safely assume that they’re probably talking about this method.Įqual temperaments sound equal because our perception of pitch is logarithmic itself. It’s the logarithmic version – also known as equal temperament or EDO (equal division of the octave). Which of these two methods sound equal to the ear? Whereas arithmetic divisions will only give you perfectly-tuned harmonics of a single fundamental with no concept of tonal modulation. In an equal temperament, you can modulate between keys and every key will sound equally in-tune. Comparing these two ways of dividing an octave equally To hear what it sounds like (I mean it’s just 12edo at A440Hz), you can follow this Scale Workshop link – it will open a page where you can press qwerty keys to play in this tuning. Maybe by now you have noticed one way in which the steps are equal… Each step is an equal ratio difference from the next. These steps don’t look equal in terms of frequency – the Hz values get larger with every step. 2/1 1/12 = 1.05946309436 (approx).Ĭonstructing the scale is done by starting from 440 Hz and then multiplying this value by the step size 1.05946309436 twelve times until we reach 880 Hz: 440Hz To divide 2/1 into 12 logarithmically equal steps we need to find the step size. Let’s take the octave from A 440Hz to A’ 880Hz and look at it as a ratio.
To hear what it sounds like, you can follow this Scale Workshop link – it will open a page where you can press qwerty keys to play in this tuning. This scale sounds nothing at all like the equal tempered scale, in fact it sounds similar to the scales you get by playing harmonics on a guitar string.
RENOISE TUTORIAL WIKI SERIES
The result is the harmonic series segment 8:9:10:11:12:13:14:15:16 with a fundamental frequency of 55 Hz. You can move up and down the scale by adding/subtracting 55 Hz. So the base step size is 55Hz.Ĭonstructing the scale is done by starting from 440Hz and then adding 55Hz each time until we reach the octave at 880Hz: 440HzĮach note is 55 Hz apart from the next. We get the difference between the two notes by subtracting the frequencies. If I want to divide this octave into arithmetically equal notes then we simply split it in a way that the difference in frequencies are equal.įor example we could split it into 8 intervals. The interval between these two notes is an octave. Let’s say you have two notes, A 440Hz and A’ 880Hz. Logarithmically equal = each step is the same ratio difference from the next Arithmetically equal division of an octave You can equally divide an interval either arithmetically or logarithmically.Īrithmetically equal = each step is the same Hz difference from the next You make all the notes the same size! But I’m being serious. Wait, two ways? You’d think there was only one way to divide an octave equally. There is potential here for confusion as there are two different ways of equally dividing an octave. i'm a fan of a lot of his work.In discussion of musical tuning there is often talk about “equal divisions” of an octave or other interval.
i thought he always used hardware sequencers. i think he did that on Selection 16.Įdit: there's a computer in this 1998 interview so maybe he had some life w/trackers. In this interview he talks about his system he developed for turning bass playing into data for programming drums. so i don't htink he was into trackers much but i don't really know. You can see back then there's a boss DR-5 on the desk. there's that good interview that keith fullerton whitman did over the phone where he talks about DSP and doing some stuff with PD at some point. If you search youtube you'll find lot's of info. He talked about the DR-660 in interviews. i don't think there was a computer in there at all for anything until later.
which is insane really.īoss Dr-660 for sequencing as well.
Yep we all know he 's a qy700 user, but that was from 2000 onwards etc, orville etc.ĭamogen furies ( pretty bad in my opinion ) was all reaktor sequenced from a qy700squarepusher used a bunch of stuff early on. Hard normal daddy, feed me weird things = trackers