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+/*
+ * 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) {
+ return Math.log(amplitude) * a2dScalar;
+ }
+
+ /**
+ * Convert decibels to amplitude. Zero dB is 1.0 and -6.02 dB is 0.5.
+ */
+ public static double decibelsToAmplitude(double decibels) {
+ return Math.pow(10.0, decibels / 20.0);
+ }
+
+ /**
+ * 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);
+ }
+}