KiMiASound Design
Level 1 · Foundations›Module 1 · Sound for keyboard players
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Module 1 · Lesson 4 of 5

Loudness and decibels

Loudness is the one thing every musician controls without thinking. To design sounds, you need it in numbers: decibels, and the strange way the ear hears different frequencies.

14 minHeadphones or studio monitorsKiMiA and your keyboard
In this lesson you will
  • Compare levels in decibels
  • Explain why the ear hears some frequencies louder than others
  • Hear how your touch changes the loudness

01Amplitude: how big the vibration is

Frequency is how fast a sound vibrates. Amplitude is how far it swings. A bigger swing pushes the air harder, and you hear it as louder.

But the ear doesn’t hear amplitude in a straight line. Doubling the amplitude does not sound twice as loud; it sounds “a bit louder”. Our hearing works in ratios, just as it does for pitch, so sound engineers measure level in decibels (dB), a scale of ratios:

ChangeAmplitudeYou hear
+6 dB× 2Clearly louder
−6 dB× ½Clearly softer
−10 dB× 0.32About half as loud
−20 dB× 1/10Quiet
−40 dB× 1/100Very quiet
1 dB× 1.12The smallest change most people notice
Figure 1.4.1

Decibels: each step a fixed ratio

1 kHz sine · layer Level 100%, 50%, 25%, 10%, 1%
Level in decibels (bar length = amplitude)
0 dBLevel 100%−6 dBLevel 50%−12 dBLevel 25%−20 dBLevel 10%−40 dBLevel 1%
One gain for all five: the steps are real Audio example — listen in the online course
KiMiA’s layer Level is a plain amplitude: 50% measured −6 dB, 25% −12 dB, 10% −20 dB. Halving the amplitude is always about 6 dB, a tenth is always 20 dB, whatever level you start from. Your ear works the same way: it hears ratios, not differences.

Decibels describe a ratio between two levels, so a dB number always needs a reference: louder than what? In KiMiA’s screens, 0 dB is usually the loudest a signal can be before it distorts, and every level below it is negative.

02The ear hears some frequencies louder

Here is something that surprises most musicians. Five sine waves, all with exactly the same amplitude, do not sound equally loud:

Figure 1.4.2

Five tones at the same level, as loud as the ear finds them

Sines at 50 Hz, 100 Hz, 1 kHz, 4 kHz, 12 kHz · same amplitude
Loudness against the 1 kHz tone (an ear-weighted measure, as KiMiA’s level meters use)
−4.7 dB50 Hz−1.8 dB100 Hz0 dB1 kHz+3.2 dB4 kHz+2 dB12 kHz
Same amplitude; listen to the loudness Audio example — listen in the online course
All five tones have exactly the same amplitude. The ear does not hear them equally: weighted the way loudness meters model hearing, the 50 Hz tone counts 4.7 dB less than 1 kHz and the 100 Hz tone 1.8 dB less, while 4 kHz counts 3.2 dB more. At very low and very high frequencies real ears lose even more, and speakers too.

The ear is most sensitive in the middle and upper middle, roughly 1 to 5 kHz, which is where speech and the “presence” of instruments live. Low frequencies need much more energy to sound as loud. This sensitivity also changes with level: at quiet levels the ear loses the bass faster still. That is why music played softly can sound thin, and why a bass that sounds full in the studio can vanish on small speakers.

In KiMiA

KiMiA uses this ear-weighted measure, called LUFS, to set the level of every sound it ships, including this course’s patches: each one sits at the same loudness, so switching sounds on stage never makes the level jump. The course patches you import are calibrated the same way.

03Your touch is loudness

On a piano, how hard you strike a key sets how loud the note is. A MIDI keyboard measures the speed of each key and sends it as velocity, a number from 1 to 127. KiMiA turns velocity into loudness with Edit›Amplitude envelope›Velocity → level:

Figure 1.4.3

How hard you play becomes how loud it is

Saw · C4 · Velocity → level 100% · Hard touch (KiMiA’s default)
Level against velocity, measured from the engine
0 dB−10−20−30204064100127Velocity →Level (dB)−28.4 dB−15.7 dB−7.8 dB0 dB+4.1 dB
One gain for all: the differences are real Audio example — listen in the online course
With KiMiA’s defaults, a normal touch (velocity 100) plays at the sound’s level. Velocity 40 comes out 15.7 dB quieter, velocity 20 28.4 dB quieter, and the hardest note (127) 4.1 dB louder. That range of about 20 dB is the dynamic range a piano player expects from pp to ff.

The span between your softest and your hardest notes is your dynamic range. A dynamic range of about 20 dB between pp and ff feels like a piano. Turn Velocity → level down and every note plays at almost the same level (right for an organ); turn it up past 100% and your touch becomes more dramatic.

Pro tip

Loudness is only half of how a real instrument responds to touch: it also gets brighter. You will meet the other half, Velocity → brightness, in Module 5. Together they make a synth feel played rather than triggered.

04Headroom: leaving room at the top

Every digital system has a ceiling: a level above which the signal can’t go. Push past it and the tops of the waves are cut off, which sounds harsh and crackly. The space between your loudest moment and that ceiling is called headroom.

Notes add up: one note may be quiet, but a ten-note chord with the sustain pedal down can be ten times louder. KiMiA protects you twice. Its sounds are calibrated with room to spare, and its output ends in a limiter that turns the level down for a moment only when a peak would pass full scale, without bending the wave. (It sits at the end of the Sound path on Play, where it can be switched off.) Still, a good habit on stage is to set your sounds so the loudest passage you play reaches the top of the meter only rarely, and to use your mixer, not the synth, to make the whole band louder.

05Try it

  1. Hear 6 dB. Load 01 · Pure Sine. On the Play screen, move layer A’s volume slider from the top to exactly halfway while you hold a note. That is 6 dB.
  2. Test your speakers. Play C1 and C6 on the sine at the same velocity, on your laptop speakers and then on headphones. Which one disappears first?
  3. Measure your touch. Play a scale from your softest to your hardest touch. Then try Velocity → level at 50% and at 150%, and find the setting that feels most natural for your keyboard.
  4. Find the ceiling. Play a big chord with the sustain pedal down and watch KiMiA’s output meter. How many notes does it take to come close to the top?
Your notes · your favorite Velocity → level setting, and why

06Check yourself

Q1You halve the amplitude of a sound. How many decibels is that?
Halving the amplitude is always about −6 dB, whatever level you start from: decibels measure ratios.
Q2A 50 Hz sine and a 2 kHz sine have the same amplitude. Which sounds louder?
The ear is far more sensitive in the 1–5 kHz region than in the deep bass, so the 2 kHz tone sounds clearly louder.
Q3Why does KiMiA set every shipped sound to the same loudness?
Calibrated loudness means you can change sounds mid-song without reaching for the volume.
Q4What does Velocity → level at 0% do?
At 0% velocity no longer changes the loudness, like an organ. At 100% you get the piano-like range of about 20 dB.