The addition of the F# in the Melodic Minor scale, makes things slightly more complex (if that was even needed at this point!). This time, we would have to work out the names comparing the scales to their most similar mode. For example, there is little point in comparing the fourth mode built on A Melodic Minor scale to an Ionian scale. It is much more similar to a Lydian mode, since it comprises of the note F#. The G# at this point, makes it a C Lydian (Augmented fifth).
This test that you can perform at home is important for two reasons. Firstly, it demonstrates how, when we talk about phase, we’re describing the relative relationship between the peaks and troughs of different waveforms and how they affect the cumulative volume. Secondly, the phase flip demonstrated above is one of the most common ways an (aspiring) audio engineer will relate to phase. Because simply inverting the phase of a signal can make so much of a difference to how it interacts with other signals, this functionality is built into a lot of audio equipment and is a cornerstone of good recording and mixing practice.