Below are various notes on phases of the moon commonly occuring in premodern Japanese literature with the emphasis on Heian literature

night of moon where full moon = 0
pic of moon, within a couple hours of a horizon when possible notes
  Charts of moon phases, their sky position, and various premodern Japanese names are in most classical Japanese dictionaries (古語辞典, kogo jiten) and, of course, online. Moon phase online information in English also abounds. There are some charts at the bottom of this page.
7th


this moon sets by the middle of the night


the 7th day moon in the evening (夕月夜); this moon is visible during the evening hours

20+

hatsuka amari no tsuki

二十日余の月

A waning, gibbous moon.

The 二十日余の月 (hatsuka amari no tsuki) is just a little less full than this.

 

Dawn Moon

Ariake no tsuki

有明の月

Ariake no tsuki, looking west over San Francisco bay, Aug 29, 2007, 6:03AM. The moon was full this month on Aug 28, 3:34AM, and the sun rose on this day at 6:37AM.

The ariake no tsuki (有明の月), literally "presence of moon at dawn". At the time of the full moon, the moon rises when the sun sets (since they are directly opposite each other) and of course sets when the sun rises. The moon falls behind the sun's transversal of the sky by about one hour each day and so on the next day it will be about one hour above its setting horizon when the sun comes up. Thus, when the sky begins to show dawn colors but before the actual sunrise, the moon will be low and bright near the western horizon. If we add another day or two, the moon is low in the horizon 2-3 hours before dawn, at the time when lovers are supposed to leave so as to preserve the privacy of the meeting. Since the streets may be unlit or poorly lit, good moonlight was very useful for pre-dawn, discreet departures. Thus it is that the moon, in a stretch of days just after the full moon, is the most useful for romantic trysts and had associated with it this romantic flavor. This moon is called the "ariake moon" and has positive nuances. It is not a specific time but rather those few days after the full moon when, in the very early morning hours, the sky begins to take on color and the moon is working its way towards the western horizon. (Of course the moon continues to be "ariake" — in the dawn sky — for longer than these few days but it is not beautifully near the horizon and has now waned to the point of providing less light for early secret departures.)

Misty Moon

Oborozuki

朧月

Oborozuki refers to a moon that is somewhat indistinct due to humidity in the atmosphere or very high level, thin clouds. It is associated with the spring and summer, and is considered very romantic. It does not have to be in any particular phase.

Convert lunar months to solar months (approximately)