B.4 FM RATIOS
APPENDIX B: THE FM TONE SYNTHESIS > B.4 FM RATIOS · PDF 第 107–108 · OS 1.12
Frequency modulation is applied in multipliers of the principal frequency to retain the sounds tonality. These multipliers are known as ratios. Each operator group’s ratio is a multiplier of the input pitch (note value). The higher the ratio, the higher the pitch frequency. For example, when applying modulation with a ratio of 1:2 (carrier:modulator), the carrier output resembles a square wave. A ratio of 1:1 sounds like a sawtooth, and odd numbers can be used for various metallic or other “natural” sounds. In Digitone II, the FM ratios for the different operator groups works like this:
C which always works like a carrier, is limited mostly to integers since it is generally used for carrying the base note of the sound. For more information, please see “A.2.1 FM TONE” on page 89.
A has a more extensive number of ratio values to allow for more inharmonic relationships. For more information, please see “A.2.1 FM TONE” on page 89. B (B1 and B2) controls both operators at the same time. The minimum value for B1 and B2 is .25. As you turn the encoder, B2 increases until it reaches the max (16). It then starts over from .25 and B1 increases to the next value (0.5). This revolving behavior continues until both operators reach the maximum value. This parameter behavior is similar to the movement of the hands on a watch. For more information, please see “A.2.1 FM TONE” on page 89.
B.5 OPERATOR ENVELOPES
If you modulate one oscillator directly with another it creates very harsh harmonics, so you need to limit the modulation level to control the amount of modulation. In Digitone II you use an envelope and a LEVEL parameter control to attenuate the amount of how much the modulator affects the carrier. The envelopes also give the possibility to control the modulation over time. A piano for example, when first struck, the timbre is sharp but quickly fades to a softer tone. Envelopes and modulation level are vital elements in FM synthesis and are the tools that you use to shape the sounds you want to achieve.
The Digitone II FM engine has two operator envelopes that are designed to be practical and easy to use. One envelope is for operator group A, and one is for group B (B1 and B2).
The envelopes are essentially expanded AD (Attack Decay) envelopes, but with an added adjustable end level (the amplitude level the sound reaches at the end of the decay stage). Normally, an AD envelope always ends at zero level, but with FM you often want to retain some modulation after a short pluck or fade in for example. For more information, please see “A.2.1 FM TONE” on page 89.
Please note that operator envelope B controls the output from both B1 and B2.
The envelopes can be either triggered or gated - making it either an ADE (Attack Decay End) or an ASDE (Attack Sustain Decay End) envelope. The sustain phase does not have an envelope level. It is instead the LEV parameter that sets the sustain level. The note length defines the length of the sustain phase. For more information, please see “A.2.1 FM TONE” on page 89.
Trigged (ATRG/BTRG ON)
Attack End level
Decay Note on
Gated (ATRG/BTRG OFF)
Attack Decay End level
Sustain Note on
Note off
You can also set if the envelopes should reset or not when they are retrigged. For more information, please see “A.2.1 FM TONE” on page 89.