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Indeed, but holiness is also practical, not only righteousness. It may be that holiness is more that of being pure, distant from sin,

I'm sorry but I don't see that in scripture or the commentaries. Holiness means "set apart". Thus you have the holy temple, holy ground that Moses walked on, the holy of holies, the holy scriptures, and a holy nation to name but a few. These items are set apart by God and only God can declared something holy. Even God is a holy God-set apart from us. It isn't a distance. It is a separation. And whenever holy is used in scripture it means a separation from something else.

Righteousness is sanctification which God leads all believers for His glory and honor:

Psa 23:3 He restores my soul. He leads me in paths of righteousness for his name's sake.

Thus Revelation:

He that is unjust, let him be unjust still: and he which is filthy, let him be filthy still: and he that is righteous, let him be righteous still: and he that is holy [hagios], let him be holy [hagiazō] still. (Rev 22:11)

Righteousness is sanctification. Holiness is justification.

I'm sorry but I don't see that in scripture or the commentaries.

I hope you did not misunderstand me, for i was speaking of growth, of becoming practically holy what we are positionally. That while the believer is holy in Christ, he is yet to become more set apart, distant and distinct from sin or sinners:

Positional: Elect according to the foreknowledge of God the Father, through sanctification [hagiasmos] of the Spirit, unto obedience and sprinkling of the blood of Jesus Christ: Grace unto you, and peace, be multiplied. (1Pe 1:2)

Practical: I speak after the manner of men because of the infirmity of your flesh: for as ye have yielded your members servants to uncleanness and to iniquity unto iniquity; even so now yield your members servants to righteousness unto holiness [hagiasmos]. (Rom 6:19)

Follow peace with all men, and holiness [hagiasmos], without which no man shall see the Lord: (Heb 12:14)

For God hath not called us unto uncleanness, but unto holiness [hagiasmos]. (1Th 4:7)

There is difference also between a wife and a virgin. The unmarried woman careth for the things of the Lord, that she may be holy [hagios] both in body and in spirit: but she that is married careth for the things of the world, how she may please her husband. (1Co 7:34)

Have a God night.

Thus Revelation: He that is unjust, let him be unjust still: and he which is filthy, let him be filthy still: and he that is righteous, let him be righteous still: and he that is holy [hagios], let him be holy [hagiazō] still. (Rev 22:11) Righteousness is sanctification. Holiness is justification.

Interestingly, hagiazō is only translated as "holy" here in the KJV: elsewhere out of 29 total KJV Occurrences, it is,

sanctified, 16

Joh_10:36, Joh_17:19, Act_20:32, Act_26:18, Rom_15:16, 1Co_1:2, 1Co_6:11, 1Co_7:14 (2), 1Ti_4:5, 2Ti_2:21, Heb_2:11, Heb_10:10, Heb_10:14, Heb_10:29, Jud_1:1

sanctify, 6

Joh_17:17, Joh_17:19, Eph_5:26, 1Th_5:23, Heb_13:12, 1Pe_3:15

sanctifieth, 4

Mat_23:17, Mat_23:19, Heb_2:11, Heb_9:13

hallowed, 2

Mat_6:9, Luk_11:2