dudes, don't be dissin' intelligent designrobojam wrote:and get far too stressed when things don't fit into nice neat little boxes with clear labels on themvurt wrote:humans like to think chaos can be ordered.
it's intellimagent
Jeebus had OCD for sure.debra1rlo wrote:dudes, don't be dissin' intelligent designrobojam wrote:and get far too stressed when things don't fit into nice neat little boxes with clear labels on themvurt wrote:humans like to think chaos can be ordered.
it's intellimagent
nix808 wrote:his fixation with hoes and wine is something to behold!

... surfing too!debra1rlo wrote:and practically invented bling when he dragged around that giant crossnix808 wrote:his fixation with hoes and wine is something to behold!
I agree and interesting indeed. However the question wasn't what makes consonance or dissonance or what makes sound pleasing to us, that was just some points that I brought up in proposing why these scales came to be in the first place, which I took to be the question.Robin from www.rs-met.com wrote:that's half of the story.Echoes in the Attic wrote:It is simply mathematical ratios. The intervals that we know of in western culture come from these well known ratios and the discovery that we seem to enjoy them. For example an octave difference is a doubling of the frequency, so the ratio is 2:1, a very simple ratio. The more simple, the more "right" they sound together, or consonant. Octaves always fit with each other as they double the frequencies, so we know of them as the same notes, higher or lower on our scales. A perfect fifth (7 semi-tones) is a ratio of 3:2, so this sounds very fitting to us as well, a major third (4 semi-tones) is 5:4, a major second (2 semi-tones) is 9:8 etc. When you start to get into ratios that do not make use of these simple ratios, our brains see it as dissonant and not so nice.
So we tend to like these mathematically rounded ratios, it somehow appeals to our brains.
we perceive simple ratios as more consonant only because our typical western instruments have partials that follow (approximately) a harmonic series - i.e. the frequencies are integer multiples of some fundamental. this leads to the fact that simple ratios between two tones (each with its own harmonic series) produce less beating between partials than with more complex frequency-ratios. in other cultures - where other instruments (like percussions, with non-harmonic partials) dominate, other scales are used. there's interaction between timbre and scale. with a properly chosen timbre, you can make even the octave sound dissonant - or whatever interval of your choice consonant. see here:
http://sethares.engr.wisc.edu/consemi.html
fascinating stuff. i'd say, nothing short of some grand unifying theory for consonance.
Whereas the use of discrete pitch intervals is characteristic of most musical traditions, the size of the intervals and the way in which they are used is culturally specific. Differences arise because of a link between the tonal characteristics of a culture's music and its speech.
Sure, but it's so close to 5:4 that our brains would perceive it basically as such wouldn't you say? I detune synth oscillators because I like the sound, and a guitar can still sound good to us slightly detuned on some strings but we can still enjoy those intervals as if they were perfect. Which leads to another point however which is that although we gravitate to these pure ratios, I think we enjoy imperfection from them as well, but that gets into a whole other story.JumpingJackFlash wrote: Most practical music though does not use all these mathematically pure ratios. In equal temperament for example, according to you, we should perceive major thirds as highly dissonant!
I agreenix808 wrote:for some reason frequency ratios are pleasing or displeasing.
hmm
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