Yamaha DX7 Technical Analysis
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Re: Yamaha DX7 Technical Analysis
#22> In mathematical terms, FM synthesis is achieved by using the instantaneous amplitude of a sound wave (the modulator) to adjust the rate of change in the phase angle of another wave (the carrier). > As convoluted as this sounds, it makes more sense when visualised: [1] ...but does it?? [1] https://ajxs.me/static/img/articles/dx7_technical_analysis/f...
"rate of change of the phase angle" is just a convoluted way of saying 'frequency'
If you step through the lookup table with constant size steps, you would get a sine wave. If the steps are not constant size then you get a distorted sine wave. The "rate of change of the phase angle" would then be the step size.
Re: Yamaha DX7 Technical Analysis
#23> In mathematical terms, FM synthesis is achieved by using the instantaneous amplitude of a sound wave (the modulator) to adjust the rate of change in the phase angle of another wave (the carrier). > As convoluted as this sounds, it makes more sense when visualised: [1] ...but does it?? [1] https://ajxs.me/static/img/articles/dx7_technical_analysis/f...
I think in this case the clearest explanation is the equations + graphs:
1. modulator(t) = sin(t)
2. carrier(t) = sin(t*4)
3. result(t) = sin(t*4 + d modulator(t)/dt) = sin(t*4 + cos(t))
http://www.fooplot.com/#W3sidHlwZSI6MCwiZXEiOiI0K3NpbigxMCp4...EDIT: it's wrong, see below
Re: Yamaha DX7 Technical Analysis
#24Re: Yamaha DX7 Technical Analysis
#25Earlier quoted context omitted.
"rate of change of the phase angle" is just a convoluted way of saying 'frequency'
I'm not sure. Intuitively I would think "phase angle" means "offset into the sine wave lookup table". If you step through the lookup table with constant size steps, you would get a sine wave. If the steps are not constant size then you get a distorted sine wave. The "rate of change of the phase angle" would then be the step size.
Re: Yamaha DX7 Technical Analysis
#26Awesome -- the DX7 had a huge musical impact.
I repair them to keep them in play, impossible to get some of the parts so I tend to use one that is too far gone to repair a number (usually three or so) of others and then I still end up with some more spares that might come in handy later. They are incredibly durable, one that I got had been in a fire but it still worked, even though more than half of the keyboard had been burned off. The mainboard went on to repa…
Re: Yamaha DX7 Technical Analysis
#27Earlier quoted context omitted.
"rate of change of the phase angle" is just a convoluted way of saying 'frequency'
I'm not sure. Intuitively I would think "phase angle" means "offset into the sine wave lookup table". If you step through the lookup table with constant size steps, you would get a sine wave. If the steps are not constant size then you get a distorted sine wave. The "rate of change of the phase angle" would then be the step size.
Re: Yamaha DX7 Technical Analysis
#28I love the DX7 but it's a shame that the maximum LFO frequency is so low. It really hampers the sound design possibilities
Re: Yamaha DX7 Technical Analysis
#29I love the DX7 but it's a shame that the maximum LFO frequency is so low. It really hampers the sound design possibilities
I think I saw somewhere that you can actually tell the LFO is done in software because it actually slows down if you move the sliders a lot while the CPU tries to pay attention to too much at once.