This is a time for Magic.
In the calendar system, this moon may often be known as the the Blessing Moon in reference to the blessings of the sacred marriages of earth and sky, or dark and light, or the King and Queen of summer.
In many other belief systems there are already time-honored traditions for the establishment of a calendar.
In the Celtic Tree Calendar the name of this moon is Duir (Oak) which runs from June 10th to July 7th.
The Runic Calendar of Nordic traditions, (which is governed by half months rather than full months), divides this moon of the year by Odal (Home or Heritage) from May 29th through June 13th, and Dag (Daylight) from June 14th through June 28th.
The Goddess Calendar names this moon of the year after Hera and runs from May 16th through June 12th.
The American Backwoods Calendar refers to this moon of the year as the Hot Moon or the Strawberry Moon and is determined by whichever full moon falls in June.
However this moon is known to you, as the Hot Moon, the Strawberry Moon, or the Honey Moon, it will surely be known in some ways that call to mind the first honey dripping from wild hives, or the sweet ripeness of fruit orchards because this moon is the moon of ripening fullness.
In many cultures and in many beliefs, this is seen as the time in the Wheel of the Year when the goddess in her mature aspect of Earth Mother, is wed to the god in his mature aspect of Summer King. Together they will reign over this peaceful season of growth and abundance.
This is a time of maturing development when the greatest power of summer will be revealed on the Summer Solstice as the longest day of the year signifies light overcoming darkness.
It is said that on the eve of the Summer Solstice, when the shortest night of the year yields to the longest day, the veil between the fairy world and this world is stretched thinnest and so springs the belief that all wishes are granted on midsummer.
So, with all that information to guide you, it may be that you see this moon as the doorway of the year which opens to the power of light and the beneficial growth and expansion associated with the longest days of the year.
If you select a personal name for this moon, allow it to be one that calls to mind the rich fullness of fruit ripening on the vines and the heady sweetness of a season in which all desires may come to fruition and all wishes may be granted.
The Blessing Chant
May the powers of The One,
the source of all creation;
all-pervasive, omnipotent, eternal;
may the Goddess, the Lady of the Moon;
and the God,Horned Hunter of the Sun;
may the powers of the Spirits of the Stones,
rulers of the elemental realms;
may the powers of the stars above and the Earth below,
bless this place, and this time, and all who are with you.