KLowe, a CMC 6-- microphone is definitely not T-powered. You can dispense with that particular concern completely. A microphone with a CMC 6-- amplifier can be powered by either of the two main forms of phantom powering defined in the DIN EN standard:
(1) standard +12 Volt phantom powering at ca. 8 mA, or else
(2) standard +48 Volt phantom powering at 4 to 5 mA.
One implementation or the other must be followed; the circuitry looks at the incoming voltage and switches its DC/DC converter into one of two possible modes. In other words, these microphones are not "12 through 48 Volt" microphones, since there is no such definition in DIN EN 61938.
Unfortunately, some phantom power supplies, especially in lightweight/portable equipment, don't follow either standard implementation consistently. The two most common problems that I've found are (a) greater than the standard 6.8 kOhm series resistance (which causes the output voltage to sag farther than normal when current is drawn), and/or (b) a simple inability to sustain 4 - 5 mA of current output per microphone.
If your phantom power supply has either or both of these problems, then the mike will switch into its 12 Volt mode, and will attempt to draw about 8 mA from the supply. If your supply was unable to put out 4 - 5 mA, it will certainly be unable to supply 8 mA! Its output voltage will drop even further, and this may be why your microphone isn't giving you much if any signal.
I'm sorry that I don't know the R-4; that's one of those four-channel Edirol hard disk recorders, right? I've tested the phantom powering circuits of a lot of preamps, mixers and recorders, but unfortunately never that one, and I hesitate to guess about it. Do you have a voltmeter handy, and can you test:
(1) the voltage between either pin 2 or pin 3 and pin 1, with no microphones connected to any inputs, and
(2) the voltage that on the socket once you plug in your CMC 64? To measure that, use an extension cable where you've opened one connector or the other up, so that you can put your voltmeter probes right onto its contacts. It has to be the same socket where the microphone is connected.
Voltage (1) must be between 44 and 52 Volts DC, while (2) should be around 15 Volts lower than (1), since you're drawing around 2.25 mA through each 6.8 kOhm feed resistor. So voltage (2) should be +30 or above, with a little wiggle room, but definitely not lower than about 27 Volts. Please let us know what you find.
--best regards