Here are the test results, as promised. Values have been rounded.
Test equipment: Nicolet Digital Storage Oscilliscope, Micronta RMS bench top multimeter, Zen Extra 30GB MP3 Player, Shellbrook MaxiMoy Portable Amplifier, 9VDC Alkaline Battery Cells, Beyerdynamic DT880, Behringer UB1202 mixer(used as mic preamp), Behringer ECM8000 Measurement Microphone, DIY Headphone Jig, Radio Shack SPL Meter
DT880 *Measured Efficiency: 96dB/0.01W[apparent] @ 1kHz
*Efficiency measurement assumes a 250 Ohm impedance and non-reactive load. Real transducers produce reactive loads, so in reality, this is only an apparent value. I would preferably measure the actual impedance and phase of impedance for this device, but my computer is not currently set up to do these measurements.
1.72VRMS/250ohms=0.00688amps*1.72=0.01 W(apparent power)
I meausured dB value on the portable system of DT880 subject using a measurement microphone jig(that headphone mounts like a head, and contains a measurement microphone). SPL meter was used beside jig before headphones were mounted in order to establish an accurate dB reference point/calibration between the two. A voltage dB meter was used off of the measurement microphone's preamplifier to measure dB value vs. SPL meter reference. Volume set so that 1.72 VRMS was achieved. Db value recorded while driving DT880 with 1.72 VRMS with a 1 kHz sine wave test tone file that is recorded at -1 dBFs.
The following scope screens were made under volume setting relevant to (1)0.01 Watt DT880 efficiency [and] (2)(3)Minimal acceptable volume[as determined subjectively] setting for Douglas Allenbrook's Ethan Frome, Track 5, Disc 1, Mapleshade Records.
Reminder: the Ethan Frome CD's average RMS values are at around -30dB, and the peaks are approaching 0dBFs. Most music would be listened to with the volume control set to a considerably lower gain, but this is a very highly dynamic music example.
At 1.72 VRMS output is clean with a 8.20VDC supply. 1.72 volts represents 96dB SPL as measured in the first part of this article. Distortion sets in soon after this point. Setting the volume to the reference volume positioin for the Ethan Frome opera work, 2.43VRMS is achieved, but the waveform is severely distorted at this gain setting at about 0dBFs, as was expected by the calculations I produced before testing. But is this really voltage limited distortion? It's easy enough to test by simply adding a 2nd battery cell in series with the first one. Figure (3) is with 16.70 VDC supply. Distortion is completely removed with the higher suppply voltage and the voltage output is now raised to the needed amplitude for the peaks in the Ethan Frome opera recording. The increments of voltage are not coincedence, they are the result of using 1 or 2 9VDC cells. The cells are about 1 or 2 hours used in the amp prior. They are still very good integrity, and this battery state was chosen to more closely represent slightly used(or rechargable with lower voltage) batteries.
((8.2VDC/2)-0.6)*0.707 = 2.47 VRMS theoretical maximum into a resistive load. However, 2.43 VRMS maximum was achieved. The actual load is not resistive, and the actual losses due to amplifier topology(0.6) may be slightly more than estimated.
5.48 VRMS is theotrically possible with the 16.70 VDC supply. 3.90 VRMS is what was measured at peak conditions under the preferred volume setting for the CD at subject in this analysis. Some headroom is leftover with the 16.70VDC supply. I did not measure the peak VRMS capability of the 16.70 VDC supply.
For effects of using a 9VDC supply on dynamic music as I specified eariler, it's easy to determine this(and it is blatantly audible as severe distortion in peaks) by looking at the waveform of the music, in relation to the dBFs relative measurements provided above. Between 1:40 and 2:00, several instances that are peaking at maximum possible value have occured, and severe distortion is heard. Note the average RMS values of this music. I have seperately highlited the first part and second part and provided an analysis for each, as well as the entire track, because of the large degree of variation of dynamics within the total track that would otherwise be masked by a single analysis. Note the histogram of relative dB distribution.

For most music(since most is not very dynamic) no distortion would be a problem. But as I asserted earlier, it is a real problem using a single 9VDC supply amp on the DT880 with highly dynamic music.
-Chris