/* * Copyright 1998 Phil Burk, Mobileer Inc * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package com.softsynth.math; /** * Miscellaneous math functions useful in Audio * * @author (C) 1998 Phil Burk */ public class AudioMath { // use scalar to convert natural log to log_base_10 private final static double a2dScalar = 20.0 / Math.log(10.0); public static final int CONCERT_A_PITCH = 69; public static final double CONCERT_A_FREQUENCY = 440.0; private static double mConcertAFrequency = CONCERT_A_FREQUENCY; /** * Convert amplitude to decibels. 1.0 is zero dB. 0.5 is -6.02 dB. */ public static double amplitudeToDecibels(double amplitude) { double db = Math.log(amplitude) * a2dScalar; return db; } /** * Convert decibels to amplitude. Zero dB is 1.0 and -6.02 dB is 0.5. */ public static double decibelsToAmplitude(double decibels) { double amp = Math.pow(10.0, decibels / 20.0); return amp; } /** * Calculate MIDI pitch based on frequency in Hertz. Middle C is 60.0. */ public static double frequencyToPitch(double frequency) { return CONCERT_A_PITCH + 12 * Math.log(frequency / mConcertAFrequency) / Math.log(2.0); } /** * Calculate frequency in Hertz based on MIDI pitch. Middle C is 60.0. You can use fractional * pitches so 60.5 would give you a pitch half way between C and C#. */ public static double pitchToFrequency(double pitch) { return mConcertAFrequency * Math.pow(2.0, ((pitch - CONCERT_A_PITCH) * (1.0 / 12.0))); } /** * This can be used to globally adjust the tuning in JSyn from Concert A at 440.0 Hz to * a slightly different frequency. Some orchestras use a higher frequency, eg. 441.0. * This value will be used by pitchToFrequency() and frequencyToPitch(). * * @param concertAFrequency */ public static void setConcertAFrequency(double concertAFrequency) { mConcertAFrequency = concertAFrequency; } public static double getConcertAFrequency() { return mConcertAFrequency; } /** Convert a delta value in semitones to a frequency multiplier. * @param semitones * @return scaler For example 2.0 for an input of 12.0 semitones. */ public static double semitonesToFrequencyScaler(double semitones) { return Math.pow(2.0, semitones / 12.0); } }