E3 vs Expanse: which needs more amplifier?

The Dan Clark Audio E3 is 27Ω at 90.0 dB/mW; the Dan Clark Audio Expanse is 26Ω at 90.0 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.

In amplifier terms these two are the same headphone. The gap between what they need for 100 dB is under half a decibel, which is smaller than the step between two clicks of most volume controls.

The numbers that decide it

SpecificationE3Expanse
Impedance27 Ω26 Ω
Sensitivity90.0 dB/mW90.0 dB/mW
Sensitivity (voltage)105.7 dB/V105.9 dB/V
Power for 100 dB10 mW10 mW
Voltage for 100 dB0.52 V0.51 V
Current for 100 dB19.2 mA19.6 mA
Highest source impedance
that leaves them alone (one-eighth rule)
3.38 Ω3.25 Ω
Sources that reach 100 dB
out of 280
280279

Where the two part company

1 of the 280 sources has the power for the E3 but not for the Expanse — Steinberg UR22C.

279 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 E3 is more demanding than 87% of the 567 non-electrostatic models in this database; the Expanse than 87%. 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 SPLE3 powerE3 voltageExpanse powerExpanse voltage
800.10 mW52 mV0.10 mW51 mV
850.32 mW92 mV0.32 mW91 mV
901.0 mW0.16 V1.0 mW0.16 V
953.2 mW0.29 V3.2 mW0.29 V
10010 mW0.52 V10 mW0.51 V
10532 mW0.92 V32 mW0.91 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, E3Headroom, ExpanseOutput impedanceNoise
JadeAudio JA11$204.0 dB3.9 dB0.5 Ω1.7 µV
FiiO KA11$2913.1 dB13.2 dB0.7 Ω1.7 µV
FiiO BTR11$365.1 dB5.2 dB0.5 Ω8.0 µV

Of the 280 sources here, 279 reach 100 dB on both. That is the easy axis. 70 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 207 of them are in the second group.

The cheapest of the 70 is the JadeAudio JA11, at $20. It leaves 4.0 dB of headroom on the E3 and 3.9 dB on the Expanse, its output impedance is 0.5 Ω against a one-eighth limit of 3.38 Ω and 3.25 Ω, and its noise figure puts the hiss floor 30 dB and 30 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
E3“Yes, it has one”not printednot printed
Expanse“Yes, it has one”not printednot printed

Dan Clark Audio prints the same thing for both the E3 and the Expanse: “Yes, it has one”.

For both: The specification table has a frequency-response row. The value printed in it is the sentence "Yes, it has one".

Neither sheet prints a frequency range, and in both cases that is on purpose: the row is there and what stands in it is a sentence rather than a number. It is a better argument than most of this page. A range printed without a tolerance says nothing about how loud a headphone is at either end of it, and of the 490 models whose maker prints a range, 58 print the ±dB figure that would make the range mean something.

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: Dan Clark Audio E3 and Dan Clark Audio Expanse. Every figure on this page comes from what Dan Clark Audio published, or is derived from it — what that maker publishes, counted.

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