SURVIVING AUDIO Field Reference
v1.2
Temp
°C
Speed of Sound
m/s
Sample Rate
Hz
§ 01

Wave & Frequency

Universal converter between frequency, period, wavelength and samples.
Universal Converter
f · T · λ · samples — all fields editable
Frequency Hz
Period ms
Wavelength λ m
Samples smp
Derived values
½ λ
¼ λ
¼ λ period
Octave up
f = 1/T · 1000 · λ = c/f · smp = SR/f
Phase Delay
Phase shift expressed as time
Phase °
Frequency Hz
Result
Time offset
↳ in samples
Period at f
t = (φ/360) × T · T = 1000/f
Bandwidth
Octaves between two frequencies
Lower frequency Hz
Upper frequency Hz
Result
Bandwidth
Center frequency
Q (rounded)
BW = log₂(f_h / f_l) · f_c = √(f_l × f_h)
Frequency interval
Semitones up / down
Reference Hz
Semitones (±) st
Result
Resulting frequency
Interval
f_out = f_ref × 2^(n/12)
Octave segments
Thirds, fifths, octaves
Reference Hz
Above reference
⅓ octave Major third
½ octave Tritone
⅔ octave Minor sixth
1 Octave Octave
Below reference
⅓ octave Major third
½ octave Tritone
⅔ octave Minor sixth
1 Octave Octave
§ 02

Level & dB

Linear ↔ logarithmic conversion, summation, headroom.
Linear → dB
Voltage / sound-pressure change
Reference value
Measured value
Result
dB change
Multiplier
% change
dB = 20 × log₁₀(V_meas / V_ref)
dB → Linear
Convert logarithm back to factor
dB value dB
Result
Voltage factor
Power factor
% Voltage
V = 10^(dB/20) · P = 10^(dB/10)
Correlated summation
Add two correlated signals
Signal A dB
Signal B dB
Result
Total sum
Δ above loudest
Voltage factor
L = 20 × log₁₀(10^(L_A/20) + 10^(L_B/20))
Passive Speaker Headroom
Amplifier headroom above speaker
Amplifier RMS W
Speaker RMS W
Result
Headroom
Power Ratio
Headroom [dB] = 10 × log₁₀(P_amp / P_spk)
§ 03

Comb & Delay

Time-offset analysis, acoustic paths, BPM and frame sync.
Comb Filter Calculator
Time offset → cancellations & peaks
Time offset ms
↳ in samples
Cancellations (Dips)
Dip 1
Dip 2
Dip 3
Peaks
Peak 1
Peak 2
Peak 3
Transition
Single Period
Summation Stop
Dip_n = (2n−1) / (2·Δt) · Peak_n = n / Δt · SumStop ≈ 1 / (3·Δt)
Acoustic path
Two sources → C, with comb analysis
Source A → C ms
Source B → C ms
Distances & Δ
Distance A
Distance B
Δ distance
Δ time
↳ Δ in samples
Level offset (1/r²)
Comb analysis from Δ time
Frequency @ full λ
Comb Dip 1
⅓ λ
Summation Stop
d = t × c · level = 20·log₁₀(d_shorter / d_longer) · λ = Δd
BPM → Delay
Musically synced delay times
Tempo BPM
Note values
Half
Quarter
Eighth
Dotted eighth
Quarter triplet
Eighth triplet
¼ note [ms] = 60000 / BPM
Video Frame Sync
Audio delay for frame offset
Frame Rate fps
Frame offset frm
Result
Audio delay
↳ in samples
Frame duration
Delay [ms] = (Frames / fps) × 1000
§ 04

PA System

Coverage angles, FAR/LAR and speaker geometry.
Audience → coverage °
Derive speaker angle from audience dimensions
Audience depth m
Audience width m
Result
Audience FAR
Required coverage °
FAR = D / W · angle = 2 × arcsin(1 / FAR)
Coverage ↔ FAR & LAR
Convert speaker coverage to FAR / LAR
Speaker coverage °
Result
FAR (Forward AR)
LAR (Lateral AR)
FAR = 1 / sin(°/2) · LAR = 2 / FAR
Do I need delay speakers?
Front- vs. back-row distance from main system
Tweeter height m
Audience ear height m
Speaker base → front row m
Speaker base → back row m
Analysis
Distance front
Distance back
Δ distance
Δ time
Distance ratio
Δ level (1/r²)
Recommendation
Rule of thumb: delay towers needed above Δt > 40 ms (≈ 14 m at 20 °C) — below that you still localize the main system correctly.
§ 05

Sub Array

Inline gradient, spacing and center frequency for subwoofers.
Inline Gradient Sub Array
Front + rear sub with XOVR & delay
−3 dB XOVR frequency Hz
Result
Max summation frequency
Rear Sub Offset
Rear Sub Delay
↳ Delay in samples
Offset = c / (4 × ⅔·XOVR) · Delay = Offset / c · 1000
Max. sub spacing
Max distance without power alley
Sub XOVR frequency Hz
Result
Maximum distance
Wavelength at XOVR
d_max = c / (2 × XOVR) = λ / 2
Sub Center Frequency
Geometric mean of the sub range
Lower sub frequency Hz
Upper sub frequency Hz
Result
Center frequency
f_c = √(f_low × f_high)
§ 06

Reference

Quick-look without typing — distance/level, BW/Q, voltage/impedance.
Distance attenuation
Level loss with distance (1/r²)
dBDistance (m)Distance (ft)
013.3
−31.44.6
−626.5
−92.89.3
−12413
−155.719
−18826
−211137
−241652
−272374
−3032105
−3664209
−42128418
Bandwidth ↔ Q
EQ Q values vs. octave bandwidths
BW (octaves)Q (rounded)
20.7
1.41
11.4
0.72
0.53
0.354
0.256
0.1679
0.12512
0.0816
Multiplier ↔ dB
Voltage factors in dB
FactordB
1.1×0.83
1.25×1.94
1.5×3.50
1.75×4.90
6.00
12.00
10×20.00
31.6×30.00
~1000×60.00
Voltage & Impedance Reference
Pro-audio signal levels and impedances
TypeImpedanceLevel
Mic Out50–600 Ω−60…−40 dBV
Mic In1.5–15 kΩ−60…−40 dBV
Inst Out10–100 kΩ−20 dBu
Inst In47 k–10 MΩ−20 dBu
Line Out Pro75–600 Ω+4 dBu
Line In Pro10–50 kΩ+4 dBu
Line Out Cons75–600 Ω−10 dBV
Line In Cons10–50 kΩ−10 dBV
Speaker Out< 100 mΩ+20…+40 dBV
Speaker In4–16 Ω+20…+40 dBV
Aux Out75–150 Ω−10 dBV
Aux In> 10 kΩ−10 dBV
Phones Out0.1–24 Ω
Phones Amp0.5–120 Ω
Phones In8–600 Ω
§ 07

Index

Glossary of all abbreviations, symbols and technical terms used in the app.
Basics & Waves
Frequency · wavelength · time
fFrequency
Number of oscillations per second, in hertz (Hz). Determines perceived pitch — 440 Hz = concert pitch A.
TPeriod
Time for one complete oscillation. T = 1 / f. At 100 Hz, T = 10 ms.
λLambda · Wavelength
Spatial length of one oscillation in air. λ = c / f. At 100 Hz and 20 °C, λ ≈ 3.43 m.
cSpeed of sound
Speed of sound in air, ≈ 343 m/s at 20 °C. Rises with temperature (~0.6 m/s per °C).
HzHertz
Unit of frequency: 1 Hz = one oscillation per second. kHz = 1000 Hz.
msMillisecond
1/1000 of a second. Standard unit for audio delays. Sound travels about 34 cm in 1 ms.
smpSamples
Digital samples. Samples per unit of time depend on the sample rate: 1 ms at 48 kHz = 48 samples.
SRSample Rate
Sampling rate in Hz. 48 000 Hz means 48 000 samples per second. Standard pro-audio rates: 44.1k / 48k / 88.2k / 96k / 176.4k / 192k.
ΔDelta
Difference between two values. Δt = time difference, Δd = distance difference, Δ dB = level difference.
φPhi · Phase
Angular position in the oscillation cycle, 0 – 360°. 180° = inverted, 360° = one full cycle.
Level & dB
Logarithmic units · power
dBDecibel
Logarithmic ratio unit. +6 dB = 2× voltage, +10 dB ≈ twice as loud perceptually.
dBVdB relative to 1 V
Level reference: 0 dBV = 1 volt RMS. Common on consumer gear (−10 dBV).
dBudB relative to 0.7746 V
Level reference: 0 dBu = 0.7746 V RMS (historic 600 Ω reference). Pro-audio standard: +4 dBu = 1.228 V RMS. 0 dBu ≈ −2.2 dBV.
SPLSound Pressure Level
Sound pressure level in dB, referenced to 20 µPa (threshold of hearing). Live concert ca. 100 – 110 dB SPL.
RMSRoot Mean Square
Root mean square — describes continuous power handling / output, more relevant than peak values.
1/r²Inverse-square law
Sound pressure halves with each doubling of distance — i.e. −6 dB per doubling in the free field.
HeadroomDynamic reserve
Reserve between nominal and maximum level. Critical so peaks don't clip.
CorrelatedIn-phase
Two signals with identical content and identical phase. Add linearly (voltage sum) — two equal signals produce +6 dB.
WWatt
Unit of electrical power. Amplifier and loudspeaker handling typically stated in W RMS.
Filter & EQ
Bandwidth · Q · comb
QQuality Factor
Filter selectivity. Higher Q = narrower bandwidth of a bell-type EQ filter. Q 1 ≈ 1.4 octaves, Q 10 ≈ 0.14 octaves.
BWBandwidth
Frequency range, often stated in octaves. BW = log₂(f_high / f_low).
EQEqualizer
Frequency-response adjustment. Boost or cut in a defined band.
OctaveFrequency doubling
One octave up = double the frequency, one octave down = half the frequency.
Comb filterComb filter
Alternating cancellations and peaks in the frequency response caused by a time offset between two correlated signals (e.g. two mics or two speakers).
DipCancellation
Frequency at which two signals interfere destructively — level drop in the frequency response.
PeakBoost
Frequency at which two signals sum constructively — level peak in the frequency response.
Phase & Time
Delay · BPM · frame sync
PhaseOscillation position
Current position in the cycle, in degrees (0 – 360°). 180° equals polarity inversion.
Phase delayPhase as time
Phase angle expressed as a time delay. Frequency-dependent: the same angle corresponds to different times at different frequencies.
BPMBeats per Minute
Tempo in beats per minute. ¼ note [ms] = 60 000 / BPM.
fpsFrames per Second
Video frame rate. Standards: 24 (cinema), 25 (PAL), 29.97/30 (NTSC), 50/60 (sports/HFR).
FrameSingle image
One image in a video sequence. At 25 fps, one frame lasts 40 ms.
Note Values
Rhythmic subdivisions
𝅗𝅥Half note
2-beat duration. At 120 BPM = 1 000 ms.
Quarter note
1 beat — reference note for BPM. At 120 BPM = 500 ms.
Eighth note
½ beat. At 120 BPM = 250 ms.
♪.Dotted eighth
1.5× the normal duration (eighth + sixteenth). At 120 BPM = 375 ms. Popular for dub delays.
Triplet3 in the time of 2
3 equal notes in the time of 2 regular ones. ⅛ triplet = 3 in one beat. At 120 BPM an ⅛ triplet ≈ 167 ms.
Musical Intervals
In semitones, equal temperament
UnisonPerfect prime · 0 ST
Same frequency, no interval.
Second2nd degree · 1–2 ST
Minor = 1 semitone (tension), major = 2 semitones (diatonic).
Third3rd degree · 3–4 ST
Minor = 3 ST (minor character), major = 4 ST (major character). ⅓ octave = exactly a major third.
Fourth4th degree · 5 ST
Frequency ratio ≈ 1.335. Consonant, often a resolution interval.
Tritone6 ST · ½ octave
Exactly half an octave. Historically «diabolus in musica» — very dissonant.
Fifth5th degree · 7 ST
Frequency ratio ≈ 1.498 (≈ 3:2). Most important harmonic interval — defines keys.
Sixth6th degree · 8–9 ST
Minor = 8 ST, major = 9 ST. ⅔ octave = exactly a minor sixth.
Seventh7th degree · 10–11 ST
Minor = 10 ST (dominant seventh), major = 11 ST (leading-tone tension).
Octave12 ST
Frequency doubling. Strongest sense of consonance. Note name repeats.
Ninth / Tenth / …Compound intervals
Compound of an octave + a smaller interval: 9th = octave + 2nd, 10th = octave + 3rd, 11th = octave + 4th, 12th = octave + 5th, etc.
PA & Live Sound
Speaker geometry · system terms
PAPublic Address
Public-address system for live sound reinforcement — mixer, amplifiers, loudspeakers.
FOHFront of House
Main mix position in the room — where the engineer stands to mix for the audience.
FARForward Aspect Ratio
Throw distance vs. half the coverage width. FAR = 1 / sin(°/2). 90° → FAR 1.41, 60° → FAR 2.
LARLateral Aspect Ratio
Lateral ratio: LAR = 2 / FAR. Tells how far apart speakers can be placed for a given throw distance.
Coverage °Dispersion angle
Dispersion angle of a loudspeaker, usually measured between the −6 dB points.
ThrowReach distance
Distance over which a speaker stays usably loud.
SplaySplay angle
Angle between two adjacent boxes in a coupled line / line array.
TweeterHigh-frequency driver
Driver for high frequencies (typically > 2 kHz). Mounted at the top of the enclosure.
SubSubwoofer
Low-frequency driver for the lowest band (typically < 100 Hz). Usually floor-placed.
LF / MF / HFLow / Mid / High Frequency
Low / mid / high frequency range. Typical boundaries: LF < 250 Hz, MF 250–4 k, HF > 4 k.
XOVRCrossover
Filter splitting the signal into bands — typically between sub and top, or between LF/HF in multi-way boxes.
Delay towerDelay speaker
Additional speaker position farther back in the audience, electrically delayed to time-align with the main system. Rule of thumb: needed above Δt > 40 ms.
Sub Array
Subwoofer configurations
Inline gradientFront + rear sub
Two subs in line — the rear one electrically delayed. Creates cancellation behind the stack, protecting the stage from sub energy.
End-fireDirectional sub array
Multiple subs in line with progressive forward delay — focuses energy in the throw direction.
Cardioid subCardioid pattern
Sub configuration with a cardioid radiation pattern — loud forward, quiet rearward.
Power alleyCenterline build-up
Narrow, very loud zone along the centerline between two subs placed too far apart. Caused by constructive summation — with cancellations on the sides.
Max spacingMaximum sub spacing
d_max = c / (2 × XOVR) = ½ wavelength at the crossover frequency. Prevents power alleys.
Connectors & Impedance
Signal levels · resistances
ΩOhm
Unit of electrical resistance / impedance. kΩ = 1 000 Ω, MΩ = 1 000 000 Ω, mΩ = 1/1000 Ω.
Hi-ZHigh Impedance
High impedance. Typical for instrument inputs (≥ 1 MΩ) — e.g. electric guitar, bass pickups.
Lo-ZLow Impedance
Low impedance. Standard for microphones (200 – 600 Ω) and line signals.
Mic levelMicrophone level
Very low level: −60 to −40 dBV (1 – 10 mV RMS). Requires pre-amplification.
Line Pro+4 dBu
Pro-audio line level: +4 dBu = 1.228 V RMS. Balanced, typically via XLR or TRS.
Line Cons.−10 dBV
Consumer line level: −10 dBV = 316 mV RMS. Common on HiFi gear via RCA, unbalanced.
SpeakerAmplifier output
+20 to +40 dBV (10 – 100 V RMS) from a very low source impedance (< 100 mΩ). Speaker input: 4 – 16 Ω.