Sundials and the long day of Hezekiah

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Today, the following are observed.

A solar year is about 365.2422 days.
A lunar month is about 29.531 days.

Was this always true in the past?

Days in a year (before): 360
Hours in a day: 24
Minutes in an hour: 60
Minutes in a day: 24 * 60 = 1440
Minutes in 5 degrees: 1440 * (5 / 360) = 20.00
Days change per year = 20.00 * 360 / 1440 = 5.00
Days in a year (after): 365

It is not clear how much is "ten steps" at the time of Hezekiah.

Isaiah 7:10 Moreover the LORD spake again unto Ahaz, saying, [kjv]

7:11 Ask thee a sign of the LORD thy God; ask it either in the depth, or in the height above. [kjv]

αιτησαι σεαυτω σημειον παρα κυριου θεου σου εις βαθος η εις υψος [lxx]

Isaiah has a message for King Ahaz and refers to both "depth" and "height". Ahaz does not want to use this opportunity.

The "sign" can be in the "depth" or the "height" - the two extremes. This "sign" is somewhat like a "wish" that can be granted.
Note that the "sign" or "wish" needs to be in the "depth" or the "height above" and not a meta-wish or wish about a wish (as in "I wish I could have three more wishes").

The "sign" is a change in 10 steps or degrees of the sun, whatever that means. A change of 5 degrees in today's sun dials would amount to adding 5 days a year making the years before about 360 days rather than 365 days.

Isaiah 7:10

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KJV: Moreover the LORD spake again unto Ahaz, saying,

Hebrew: ויוסף יהוה דבר אל אחז לאמר׃

Greek: και προσεθετο κυριος λαλησαι τω αχαζ λεγων

Isaiah 7:11

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KJV: Ask thee a sign of the LORD thy God; ask it either in the depth, or in the height above.

Hebrew: שאל לך אות מעם יהוה אלהיך העמק שאלה או הגבה למעלה׃

Greek: αιτησαι σεαυτω σημειον παρα κυριου θεου σου εις βαθος η εις υψος

The "dial of Ahaz", which appears to be a type of sun dial, is mentioned twice in the OT (Old Testament).

2 Kings 20:11 And Isaiah the prophet cried unto the LORD: and he brought the shadow ten degrees backward, by which it had gone down in the dial of Ahaz. [kjv]

και εβοησεν ησαιας ο προφητης προς κυριον και επεστρεψεν η σκια εν τοις αναβαθμοις εις τα οπισω δεκα βαθμους [lxx]

Isaiah 38:8 Behold, I will bring again the shadow of the degrees, which is gone down in the sun dial of Ahaz, ten degrees backward. So the sun returned ten degrees, by which degrees it was gone down. [kjv]

την σκιαν των αναβαθμων ους κατεβη ο ηλιος τους δεκα αναβαθμους του οικου του πατρος σου αποστρεψω τον ηλιον τους δεκα αναβαθμους και ανεβη ο ηλιος τους δεκα αναβαθμους ους κατεβη η σκια [lxx]

2 Kings 20:11

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KJV: And Isaiah the prophet cried unto the LORD: and he brought the shadow ten degrees backward, by which it had gone down in the dial of Ahaz.

Hebrew: ויקרא ישעיהו הנביא אל יהוה וישב את הצל במעלות אשר ירדה במעלות אחז אחרנית עשר מעלות׃

Greek: και εβοησεν ησαιας ο προφητης προς κυριον και επεστρεψεν η σκια εν τοις αναβαθμοις εις τα οπισω δεκα βαθμους

Brenton: And Esaias the prophet cried to the Lord: and the shadow returned back ten degrees on the dial.

Isaiah 38:8

All

KJV: Behold, I will bring again the shadow of the degrees, which is gone down in the sun dial of Ahaz, ten degrees backward. So the sun returned ten degrees, by which degrees it was gone down.

Hebrew: הנני משיב את צל המעלות אשר ירדה במעלות אחז בשמש אחרנית עשר מעלות ותשב השמש עשר מעלות במעלות אשר ירדה׃

Greek: την σκιαν των αναβαθμων ους κατεβη ο ηλιος τους δεκα αναβαθμους του οικου του πατρος σου αποστρεψω τον ηλιον τους δεκα αναβαθμους και ανεβη ο ηλιος τους δεκα αναβαθμους ους κατεβη η σκια