Crimson vs Titan: which needs more amplifier?

The Symphonium Crimson is 6.05Ω at 83.8 dB/mW; the Symphonium Titan is 3.0Ω at 79.8 dB/mW. This page is only about what they ask of an amplifier — not how they sound, which no specification on either sheet can tell you.

The Titan needs 4.0 dB more than the Crimson to reach the same loudness — 105 mW against 42 mW.

The numbers that decide it

SpecificationCrimsonTitan
Impedance6.05 Ω3.0 Ω
Sensitivity83.8 dB/mW79.8 dB/mW
Sensitivity (voltage)106.0 dB/V105.0 dB/V
Power for 100 dB42 mW105 mW
Voltage for 100 dB0.50 V0.56 V
Current for 100 dB83.0 mA186.8 mA
Highest source impedance
that leaves them alone (one-eighth rule)
0.76 Ω0.38 Ω
Sources that reach 100 dB
out of 280
16685

Where the two part company

81 of the 280 sources have the power for the Crimson but not for the Titan — FiiO KA11, FiiO BTR13, Tempotec Sonata BHD Pro, 78 more.

30 sources are low enough in output impedance for the Crimson under the one-eighth rule but not for the Titan (JadeAudio JA11, FiiO SnowSky Tiny A, FiiO KA11, 27 more).

85 of the 280 sources here reach 100 dB on both. That count is about power only — the output-impedance and hiss lines above are separate questions, and a source can pass this one and fail those.

What each one needs from 80 to 105 dB

The gap between these two in decibels does not change with volume — it is a property of the two headphones. What changes is the size of the numbers, and it changes fast: every 10 dB costs ten times the power. The row that matters is the one nearest the level you listen at, and for most people that is nearer the top of this table than the bottom.

The Titan is more demanding than 100% of the 567 non-electrostatic models in this database; the Crimson than 96%. Both figures use the same measure as the rest of the site: whichever runs out first against a 2 V, 100 mW dongle, voltage or power.

dB SPLCrimson powerCrimson voltageTitan powerTitan voltage
800.42 mW50 mV1.0 mW56 mV
851.3 mW89 mV3.3 mW100 mV
904.2 mW0.16 V10 mW0.18 V
9513 mW0.28 V33 mW0.32 V
10042 mW0.50 V105 mW0.56 V
105132 mW0.89 V331 mW1.00 V

105 dB is included because forum power figures are usually quoted there or higher. It is also a level that damages hearing in minutes — how many minutes is its own calculator.

The cheapest source that satisfies both

SourcePriceHeadroom, CrimsonHeadroom, TitanOutput impedanceNoise
Schiit Magni Unity$11914.3 dB7.3 dB0.1 Ω1.59 µV
Topping L30 II$14915.0 dB8.0 dB0.1 Ω0.3 µV
SMSL HO100$16014.3 dB7.3 dB<0.1 Ω1.3 µV

Of the 280 sources here, 85 reach 100 dB on both. That is the easy axis. 22 of them also publish an output impedance low enough for both under the one-eighth rule and a noise figure that stays below the audible-hiss threshold with both — the rest either fail one of those or never printed the number at all, and 47 of them are in the second group.

The cheapest of the 22 is the Schiit Magni Unity, at $119. It leaves 14.3 dB of headroom on the Crimson and 7.3 dB on the Titan, its output impedance is 0.1 Ω against a one-eighth limit of 0.76 Ω and 0.38 Ω, and its noise figure puts the hiss floor 30 dB and 31 dB below the 20 dB SPL this site treats as the point where a quiet room stops hiding it.

Cheapest that satisfies three published numbers is not the same as best, and none of it is about how either headphone sounds. To put either model against a source this page does not mention, or to change the target loudness, use the amplifier matcher.

What each sheet prints, and what it is worth

ModelAs printedToleranceStandard
Crimson10Hz - 24kHz, ± 2 dB±2 dBnot printed
Titan8Hz - 24kHz, ± 2 dB±2 dBnot printed

Symphonium prints 10Hz - 24kHz, ± 2 dB for the Crimson and 8Hz - 24kHz, ± 2 dB for the Titan.

Both sheets print a tolerance, which is rare enough to be worth pointing at: only 58 of the 490 models with a printed range do. These two ranges can be set against each other, because each of them says how far down the response is allowed to be at the ends.

None of this is a measurement. What each maker publishes, and what it is worth, is set out in the frequency response audit.

Both pages in full

Each model has a page of its own with the full source list, the hiss estimate and the provenance of every figure above: Symphonium Crimson and Symphonium Titan. Every figure on this page comes from what Symphonium published, or is derived from it — what that maker publishes, counted.

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